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04.65.+e
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
04.70.-s
1/n expansion
- » Building Bases of Loop Integrands
- » How tropical are seven- and eight-particle amplitudes?
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » The Double Pentaladder Integral to All Orders
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
11.15.-q
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Towards a Basis for Planar Two-Loop Integrals
11.15.bt
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- » Towards a Basis for Planar Two-Loop Integrals
11.25.-w
11.25.db
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
11.30.pb
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
11.55.-m
11.55.bq
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
12.10.-g
12.38.bx
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » Analytic result for a two-loop five-particle amplitude
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Towards a Basis for Planar Two-Loop Integrals
12.60.jv
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
BCFW
BCFW Mathematica tutorial
BCFW bridge
BCJ
- » Extracting Einstein from the Loop-Level Double-Copy
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » All Summer School Lectures for Amplitudes 2018
- » N=4 SYM and N=8 SG 5-loop integrands
- » Amplitudes related Graph Tools
- » All Summer School Lectures for Amplitudes 2017
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
BCJ relations
CHY
Compton amplitudes
Feynman integrals
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
Feynman parameters
GKP string
Goncharov
Graham determinants
Grassmannian
Hopf algebra
IBP relations
IBPs
IR safety
KLT
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
LHC
Lax representation
Lee-Pomeransky
Liouville theorem
Lyndon basis
MHV
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
MZV
Monte Carlo
Multiple Polylogs
N=2 superQCD
- » Integrated One and Two Loop Four-Point Super-QCD
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
N=4 SG
N=4 SYM
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
- » Converting from Schnetz f-alphabet to MZVs through weight 14
- » Six-Gluon Amplitudes in Planar N=4 Super-Yang-Mills Theory at Six and Seven Loops
- » N=4 SYM and N=8 SG 5-loop integrands
- » Bourjaily -- Mathematica for N=4 Tree Amplitudes
N=8 SG
Neumann model
PARI
PSLQ
Periods
Polylogarithms
QCD phenomenology
QED vertex renormalization
RNS worldsheet action
S matrix
SAGEX
- » Scattering amplitudes and form factors in EFT
- » Geometrical aspects of amplitudes and correlators in N=4 SYM
- » Classical Gravity from Gluon Interactions
- » On-shell techniques for Effective Field Theories
- » Massive 2- and 3-loop corrections to hard scattering processes in QCD
- » Perturbative integrability in 1+1 dimensions and affine Toda theories
- » Multipoint conformal blocks in conformal field theories
- » Non-planar anomalous dimensions in sYM theories
- » Coherent states and classical radiative observables in the S-matrix formalism
- » Unitarity approaches to two-loop all-plus amplitudes
- » The On-Shell Highway To Waveforms
- » Heavy particles and the binary inspiral problem
Schwinger parameters
Shuffle algebra
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
Shuffle identities
Superconformal symmetry
Symbols
Z-theory
abelian
abjm
abjm model
ads(5) x s(5)
ads/cft correspondence
algebra
- » Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » The Double Pentaladder Integral to All Orders
algebra cluster
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » How tropical are seven- and eight-particle amplitudes?
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Cluster adjacency properties of scattering amplitudes
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
algebra hopf
algebraic geometry
alphabet
amplitude analysis
- » One-loop matrix elements of effective superstring interactions: $α'$-expanding loop integrands
- » Manifestly Dual-Conformal Loop Integration
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
amplitudes
- » SAGEX 2021 PhD Organized Summer School
- » SAGEX Mathematica and Maple School Lectures
- » Integrated One and Two Loop Four-Point Super-QCD
- » Six-Gluon Amplitudes in Planar N=4 Super-Yang-Mills Theory at Six and Seven Loops
- » The two-loop five-point amplitude in N=8 supergravity
- » All Summer School Lectures for Amplitudes 2018
- » Amplitudes related Graph Tools
- » All Summer School Lectures for Amplitudes 2017
amplitudes meet experiment
analytic continuation
analytic properties
- » Soft gluon emission at two loops in full color
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » Cluster adjacency properties of scattering amplitudes
angular momentum
anomalous dimension
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » Cosmic Wheels: From integrability to the Galois coaction
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
anomaly u(1)
any-dimensional
- » SUSY in the Sky with Gravitons
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Double-Copy Constructions and Unitarity Cuts
approximation classical
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Extracting Einstein from the Loop-Level Double-Copy
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
approximation eikonal
astro-ph
axial-vector
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
axion
b1(1235) mass
background schwarzschild
bcj relations
belle
bethe ansatz
beyond standard model
bfkl equation
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Bootstrapping the three-loop hexagon
bhabha scattering
binary
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
binary compact
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
binding energy
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
black hole
black hole angular momentum
black hole binary
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Tidal Effects in the Post-Minkowskian Expansion
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
black hole dyon
black hole kerr
black hole scattering
- » Extracting Einstein from the Loop-Level Double-Copy
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
black hole spin
black holes
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
bootstrap
- » Extracting Einstein from the Loop-Level Double-Copy
- » A Three-Point Form Factor Through Five Loops
- » The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Bootstrapping an NMHV amplitude through three loops
born-infeld model
- » Covariant Color-Kinematics Duality
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Hidden Supersymmetry May Imply Duality Invariance
bosonic strings
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Inverse of the String Theory KLT Kernel
boundary condition
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
bps
bremsstrahlung
bubble
buildings
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Building Bases of Loop Integrands
- » Positivity Sectors and the Amplituhedron
calorimetry
capture
celestial amplitudes
cern lab
cern lhc coll
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
charge coulomb
charge electric
charge magnetic
charge nut
chern-simons theories
chiral
chiral lagrangians
chiral-multiplets
classical black-hole scattering
classical theories of gravity
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Unitarization from Geometry
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Gravitational Radiation from Color-Kinematics Duality
cluster
- » The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
cluster algebras
collinear
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » Soft gluon emission at two loops in full color
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
collinear limits
color
- » Covariant Color-Kinematics Duality
- » Composing Effective Prediction at Five Points
- » Double copy for massive quantum particles with spin
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Amplitudes at Infinity
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » Berends-Giele recursion for double-color-ordered amplitudes
- » Color-Kinematics Duality for QCD Amplitudes
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Double-Copy Constructions and Unitarity Cuts
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Decomposing color structure into multiplet bases
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » Orthogonal multiplet bases in SU(Nc) color space
color dependence
color kinematics duality
color ordered
color su(n)
color-kinematic duality
colored particle
compactification
compass
computer algebra
conformal
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Hexagon functions and the three-loop remainder function
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
conformal and w symmetry
conformal symmetry
conservation law
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Tidal Effects in the Post-Minkowskian Expansion
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
convergence conditions
correction finite size
- » SUSY in the Sky with Gravitons
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Tidal Effects in the Post-Minkowskian Expansion
correlation function
- » One-loop matrix elements of effective superstring interactions: $α'$-expanding loop integrands
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
correlation functions
coset space
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » N=4 conformal supergravity: the complete actions
cosmic flows
cosmic web
coupling constant
coupling linear
coupling minimal
coupling nonminimal
covariance
- » Covariant Color-Kinematics Duality
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
cross section
cross section ratio
curvature tensor
cuts
data analysis method
deep inelastic scattering
deeply virtual compton scattering
deflection
deformation
- » Tidal Effects in the Post-Minkowskian Expansion
- » Hidden Supersymmetry May Imply Duality Invariance
density
derivative high
- » Composing Effective Prediction at Five Points
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Mining the Geodesic Equation for Scattering Data
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
differential and algebraic geometry
- » Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
differential equations
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Cosmic Wheels: From integrability to the Galois coaction
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
- » The Double Pentaladder Integral to All Orders
- » Hexagon functions and the three-loop remainder function
differential forms
dijet production
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
dilatation operator
dilaton
dimension 3
dimension 4
- » Building Bases of Loop Integrands
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » Ultraviolet Properties of N = 8 Supergravity at Five Loops
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- » Towards a Basis for Planar Two-Loop Integrals
dimension 5
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
dimension 6
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Towards a Basis for Planar Two-Loop Integrals
dimension 8
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Towards a Basis for Planar Two-Loop Integrals
dimensional reduction
dimensional regularization
dispersion
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
dispersion relation
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Dispersion relation for hadronic light-by-light scattering: pion pole
dissipation
distribution amplitude light cone
double copy
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Summer School Lectures for Amplitudes 2018
- » N=4 SYM and N=8 SG 5-loop integrands
- » Amplitudes related Graph Tools
- » All Summer School Lectures for Amplitudes 2017
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
double field theory
duality
- » Covariant Color-Kinematics Duality
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » Double copy for massive quantum particles with spin
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Manifestly Dual-Conformal Loop Integration
- » Amplitudes at Infinity
- » Gravitational Radiation from Color-Kinematics Duality
- » The Double Pentaladder Integral to All Orders
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Color-Kinematics Duality for QCD Amplitudes
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Double-Copy Constructions and Unitarity Cuts
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » Review of AdS/CFT Integrability: An Overview
- » Bootstrapping the three-loop hexagon
duality in gauge field theories
- » Composing Effective Prediction at Five Points
- » Double copy for massive quantum particles with spin
duality invariance
duality violation
dyon
effective field theories
- » Composing Effective Prediction at Five Points
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Unitarization from Geometry
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Dispersion relation for hadronic light-by-light scattering: pion pole
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Berends-Giele recursion for double-color-ordered amplitudes
effective field theory
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Standard Model EFTs via On-Shell Methods
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Composing Effective Prediction at Five Points
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Tidal Effects in the Post-Minkowskian Expansion
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » One-loop renormalization in Galileon effective field theory
- » One-loop renormalization in Galileon effective field theory
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
effective hamiltonian
effective lagrangian
efficiency
eikonal
- » SUSY in the Sky with Gravitons
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
einstein
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
einstein-maxwell equation
einstein-yang-mills theory
elastic scattering
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
electromagnetic field duality
electron
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
electron mass
electron muon scattering
electron muon to electron muon
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
electron nucleon scattering
electron positron elastic scattering
electron positron to muon+ muon-
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
electron positron to pi pi pi
electroweak interaction correction
elementary particles and fields
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » An Elliptic Yangian-Invariant, `Leading Singularity'
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Tidal Effects in the Post-Minkowskian Expansion
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Analytic result for a two-loop five-particle amplitude
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
elliptic polylogarithms
embedding
energy flux
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
energy loss
energy low
energy-momentum
epsilon expansion
error statistical
euclidean
excited state kaluza-klein
expansion 1/n
expansion 1/n color
extended supersymmetry
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » How tropical are seven- and eight-particle amplitudes?
- » N=4 conformal supergravity: the complete actions
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Bootstrapping an NMHV amplitude through three loops
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
f-alphabet
factorization
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Soft gluon emission at two loops in full color
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » All Lectures for the first SAGEX scientific School (DESY)
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Bootstrapping an NMHV amplitude through three loops
- » Hexagon functions and the three-loop remainder function
factorization collinear
fermion clover
fermion massive
fermion pair
feynman
feynman graph
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
- » Unitarization from Geometry
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » One-loop renormalization in Galileon effective field theory
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- » Manifestly Dual-Conformal Loop Integration
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
feynman integrals
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » SAGEX Mathematica and Maple School Lectures
- » All Summer School Lectures for Amplitudes 2018
- » All Summer School Lectures for Amplitudes 2017
field equations nonlinear
field theories in higher dimensions
- » Unitarization from Geometry
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
field theories in lower dimensions
field theory
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
field theory conformal
- » All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Review of AdS/CFT Integrability: An Overview
field theory massless
field theory scalar
field theory spinor
finite field methods
finite size effect
five-loop
five-point
flow
fluid
flux tube
form
form factor
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » A Three-Point Form Factor Through Five Loops
form factor sudakov
form factor transition
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » Dispersion relation for hadronic light-by-light scattering: pion pole
form factor vertex
formal aspects of field theory field theory in curved space
formula
four-point
- » Integrated One and Two Loop Four-Point Super-QCD
- » N=4 SYM and N=8 SG 5-loop integrands
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
galileon
- » Covariant Color-Kinematics Duality
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » One-loop renormalization in Galileon effective field theory
gauge field theory
- » Extracting Einstein from the Loop-Level Double-Copy
- » Composing Effective Prediction at Five Points
- » Amplitudes from Coulomb to Kerr-Taub-NUT
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Soft gluon emission at two loops in full color
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Towards a Basis for Planar Two-Loop Integrals
gauge field theory duality
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
gauge field theory massive
gauge field theory su(2)
gauge field theory su(n)
gauge field theory symmetry
gauge field theory yang-mills
- » Covariant Color-Kinematics Duality
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » Building Bases of Loop Integrands
- » Unitarization from Geometry
- » The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
- » Gravitational Radiation from Color-Kinematics Duality
- » Double-Copy Constructions and Unitarity Cuts
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
- » Bootstrapping the three-loop hexagon
gauge field theory yang-mills supersymmetry
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
gauge fixing
gauge symmetry
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Building Bases of Loop Integrands
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » Color-Kinematics Duality for QCD Amplitudes
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
gauge theory
gauge-gravity correspondence
general relativity
- » Covariant Color-Kinematics Duality
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Scattering amplitudes in affine gravity
- » Mining the Geodesic Equation for Scattering Data
- » Unitarization from Geometry
general relativity alternative theories of gravity
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Mining the Geodesic Equation for Scattering Data
generalized parton distribution
geodesic
geometry
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Positivity Sectors and the Amplituhedron
ghost correlation function
gluon
- » Soft gluon emission at two loops in full color
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Inverse of the String Theory KLT Kernel
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Decomposing color structure into multiplet bases
- » All one-loop NMHV gluon amplitudes in N=1 SYM
- » Hexagon functions and the three-loop remainder function
gluon correlation function
gluon gluon elastic scattering
gluon scattering amplitude
gluon splitting
gluons
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Summer School Lectures for Amplitudes 2018
- » All Summer School Lectures for Amplitudes 2017
goldstino
graph methods
graph theory
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
grassmanian geometry
grassmann
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » How tropical are seven- and eight-particle amplitudes?
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Cluster adjacency properties of scattering amplitudes
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
gravitation
- » SAGEX 2021 PhD Organized Summer School
- » Composing Effective Prediction at Five Points
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Amplitudes from Coulomb to Kerr-Taub-NUT
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Double copy for massive quantum particles with spin
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » Double-Copy Constructions and Unitarity Cuts
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
gravitation affine
gravitation classical
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
gravitation dilaton
gravitation duality
gravitation einstein-hilbert
gravitation emission
gravitation fundamental constant
- » SUSY in the Sky with Gravitons
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
gravitation interaction
- » Scattering amplitudes in affine gravity
- » Mining the Geodesic Equation for Scattering Data
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
gravitation massive
gravitation model
gravitation scattering amplitude
gravitation weak field
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
gravitational radiation
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Gravitational Radiation from Color-Kinematics Duality
graviton
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
graviton momentum
graviton multiplet
graviton scattering amplitude
group galois
- » Cosmic Wheels: From integrability to the Galois coaction
- » The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
group representation
group su(n) x su(n)
hamiltonian
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Tidal Effects in the Post-Minkowskian Expansion
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
hbar expansion
helicity
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Building Bases of Loop Integrands
- » How tropical are seven- and eight-particle amplitudes?
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
helicity amplitude analysis
helicity violation
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
hep-ph
hep-th
- » Scattering amplitudes and form factors in EFT
- » Geometrical aspects of amplitudes and correlators in N=4 SYM
- » Classical Gravity from Gluon Interactions
- » On-shell techniques for Effective Field Theories
- » Massive 2- and 3-loop corrections to hard scattering processes in QCD
- » Perturbative integrability in 1+1 dimensions and affine Toda theories
- » Multipoint conformal blocks in conformal field theories
- » Closed. ~~A&I Group, Northwestern University~~
- » Non-planar anomalous dimensions in sYM theories
- » Coherent states and classical radiative observables in the S-matrix formalism
- » Unitarity approaches to two-loop all-plus amplitudes
- » Massive matter and the double copy -- Bootstrapping amplitudes in gauge and gravity theories
- » The On-Shell Highway To Waveforms
- » Heavy particles and the binary inspiral problem
heterotic
hidden symmetry
higgs physics
higher-dimensional
higher-order
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » The Double Pentaladder Integral to All Orders
higher-order 0
higher-order 1
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Tidal Effects in the Post-Minkowskian Expansion
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Gravitational Radiation from Color-Kinematics Duality
higher-order 2
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
higher-order 4
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
higher-order 5
holography
holomorphic
infrared
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
- » Manifestly Dual-Conformal Loop Integration
- » Analytic result for a two-loop five-particle amplitude
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
infrared problem
integrability
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Cosmic Wheels: From integrability to the Galois coaction
- » All Lectures for the first SAGEX scientific School (DESY)
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Review of AdS/CFT Integrability: An Overview
- » Review of AdS/CFT Integrability: An Overview
integral convergence
integrand decomposition
integrands
- » N=4 SYM and N=8 SG 5-loop integrands
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
interaction gauge
intercations with detector
introductory
invariance conformal
invariance gauge
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Tidal Effects in the Post-Minkowskian Expansion
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » Amplitudes at Infinity
- » Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
invariance yangian
isoscalar
iterated Eisenstein integrals
iterated integrals
jacobi identity
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Gravitational Radiation from Color-Kinematics Duality
jet methods
kaluza-klein
kerr
kerr/cft correspondence
kinematics
- » Covariant Color-Kinematics Duality
- » Massive Double Copy in Three Spacetime Dimensions
- » Composing Effective Prediction at Five Points
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Soft gluon emission at two loops in full color
- » Double copy for massive quantum particles with spin
- » The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Amplitudes at Infinity
- » Dispersion relation for hadronic light-by-light scattering: pion pole
- » Gravitational Radiation from Color-Kinematics Duality
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Color-Kinematics Duality for QCD Amplitudes
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Double-Copy Constructions and Unitarity Cuts
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Hexagon functions and the three-loop remainder function
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
kinematics multi-regge
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
landau gauge
large ansatze
lattice
lattice anisotropy
lattice field theories lattice qcd
lattice field theory
laurent expansion
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
leading logarithm approximation
lectures
- » SAGEX 2021 PhD Organized Summer School
- » SAGEX Mathematica and Maple School Lectures
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
- » All Summer School Lectures for Amplitudes 2018
- » All Summer School Lectures for Amplitudes 2017
lepton mass
letters
localization
loop amplitude
loop integral
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
- » A Three-Point Form Factor Through Five Loops
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Cosmic Wheels: From integrability to the Galois coaction
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Building Bases of Loop Integrands
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Soft gluon emission at two loops in full color
- » Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
- » Manifestly Dual-Conformal Loop Integration
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » Dispersion relation for hadronic light-by-light scattering: pion pole
- » The Double Pentaladder Integral to All Orders
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
- » Towards a Basis for Planar Two-Loop Integrals
loop integral 0
- » Ultraviolet Properties of N = 8 Supergravity at Five Loops
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
loop integral 1
- » Extracting Einstein from the Loop-Level Double-Copy
- » One-loop matrix elements of effective superstring interactions: $α'$-expanding loop integrands
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
loop integral 4
mass effect
mass formula
mass ratio
- » Mining the Geodesic Equation for Scattering Data
- » Tidal Effects in the Post-Minkowskian Expansion
mass spectrum
mass topological
massive spinor helicity
master integral
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Analytic result for a two-loop five-particle amplitude
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
- » All one-loop NMHV gluon amplitudes in N=1 SYM
- » Towards a Basis for Planar Two-Loop Integrals
mathematica
- » Converting from Schnetz f-alphabet to MZVs through weight 14
- » Integrated One and Two Loop Four-Point Super-QCD
- » Six-Gluon Amplitudes in Planar N=4 Super-Yang-Mills Theory at Six and Seven Loops
- » The two-loop five-point amplitude in N=8 supergravity
- » A Monte Carlo Approach to the 4D Scattering Equations
- » N=4 SYM and N=8 SG 5-loop integrands
- » Amplitudes related Graph Tools
- » Bourjaily -- Mathematica for N=4 Tree Amplitudes
mathematical methods
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Extracting Einstein from the Loop-Level Double-Copy
- » Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » How tropical are seven- and eight-particle amplitudes?
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Manifestly Dual-Conformal Loop Integration
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
maximally helicity violating amplitude
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » How tropical are seven- and eight-particle amplitudes?
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Amplitudes at Infinity
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Cluster adjacency properties of scattering amplitudes
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Hexagon functions and the three-loop remainder function
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
mellin transformation
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The Double Pentaladder Integral to All Orders
meson mass spectrum
method of maximal cuts
modified gravity
moduli
moduli space
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
momentum dependence
momentum twistors
monodromy
monte-carlo
multi-regge
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Analytic result for a two-loop five-particle amplitude
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Bootstrapping an NMHV amplitude through three loops
- » Hexagon functions and the three-loop remainder function
- » Bootstrapping the three-loop hexagon
multi-regge kinematics
multiple polylogarithms
multiple zeta values
multiplet
- » Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Decomposing color structure into multiplet bases
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » Orthogonal multiplet bases in SU(Nc) color space
multiplet coupling
multiplet vector
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » N=4 conformal supergravity: the complete actions
multiplicity
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Building Bases of Loop Integrands
- » Amplitudes at Infinity
- » Berends-Giele recursion for double-color-ordered amplitudes
multiplicity high
muon magnetic moment
muon mass
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
n-point function
- » One-loop renormalization in Galileon effective field theory
- » Cluster adjacency properties of scattering amplitudes
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
n-point function 3
- » Extracting Einstein from the Loop-Level Double-Copy
- » Amplitudes from Coulomb to Kerr-Taub-NUT
- » Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
n-point function 4
- » Extracting Einstein from the Loop-Level Double-Copy
- » All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
- » Composing Effective Prediction at Five Points
- » A Three-Point Form Factor Through Five Loops
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
n-point function 5
- » Extracting Einstein from the Loop-Level Double-Copy
- » Massive Double Copy in Three Spacetime Dimensions
- » Composing Effective Prediction at Five Points
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
n-point function 6
- » Extracting Einstein from the Loop-Level Double-Copy
- » The Double Pentaladder Integral to All Orders
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
n-point function 8
n=8 supergravity
neutron star
nlo computations
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
nonlocal
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
nonperturbative effects
- » Dispersion relation for hadronic light-by-light scattering: pion pole
- » The Double Pentaladder Integral to All Orders
numerical calculations
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » A Three-Point Form Factor Through Five Loops
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
numerical methods
numerical methods variational
on-shell
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Positivity Sectors and the Amplituhedron
one-loop
onshell diagrams
onshell methods
operator bps
operator higher-dimensional
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
operator product expansion
- » A Three-Point Form Factor Through Five Loops
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Bootstrapping an NMHV amplitude through three loops
- » Hexagon functions and the three-loop remainder function
- » Bootstrapping the three-loop hexagon
optical theorem
orbit
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
overlap
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
p p scattering
p p to w photon
parametrization
parity
particle massive
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Double copy for massive quantum particles with spin
particle spin
parton distribution function
parton distribution functions
parton scattering
parton scattering amplitude
parton shower
path permutations
periods
perturbation
perturbation theory
- » Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
perturbation theory higher-order
perturbative qcd
- » Soft gluon emission at two loops in full color
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
phase space
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
photon photon scattering
physcis of the early universe
pi pole
planar
- » Converting from Schnetz f-alphabet to MZVs through weight 14
- » Six-Gluon Amplitudes in Planar N=4 Super-Yang-Mills Theory at Six and Seven Loops
poincare
polarization vector
pole
- » Massive Double Copy in Three Spacetime Dimensions
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
pole massless
polyakov loop
positive geometries
positivity
postdoc
power spectrum
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
precision qed
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » Dispersion relation for hadronic light-by-light scattering: pion pole
predictions
pressure
propagator
propagator feynman
- » One-loop matrix elements of effective superstring interactions: $α'$-expanding loop integrands
- » Inverse of the String Theory KLT Kernel
qcd
- » Color-Kinematics Duality for QCD Amplitudes
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » All one-loop NMHV gluon amplitudes in N=1 SYM
qcd phenomenology
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » Decomposing color structure into multiplet bases
quantum chromodynamics
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » A Three-Point Form Factor Through Five Loops
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Color-Kinematics Duality for QCD Amplitudes
- » Decomposing color structure into multiplet bases
quantum chromodynamics massless
quantum chromodynamics perturbation theory
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » Orthogonal multiplet bases in SU(Nc) color space
quantum chromodynamics scattering amplitude
quantum chromodynamics supersymmetry
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
quantum electrodynamics
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
quantum electrodynamics correction
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
quantum field theory in curved spacetime
quantum gravity
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Scattering amplitudes in affine gravity
quark antiquark pair
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Decomposing color structure into multiplet bases
quark antiquark scattering
quark antiquark to top anti-top
quark flavor 3
quark gluon
quark mass dependence
quark massive
quark wilson
radiation classical
radiation effect
radiation emission
radiative correction
regularization
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » Manifestly Dual-Conformal Loop Integration
regularization dimensional
- » Analytic result for a two-loop five-particle amplitude
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
renormalization
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » One-loop renormalization in Galileon effective field theory
- » One-loop renormalization in Galileon effective field theory
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
renormalization group
representation
resonance mass spectrum
resummation
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » One-loop renormalization in Galileon effective field theory
riemann
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
rotation
s-matrix
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Gravitational Radiation from Color-Kinematics Duality
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
scalar particle scattering amplitude
scale dependence
scaling
scattering
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Tidal Effects in the Post-Minkowskian Expansion
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » Hexagon functions and the three-loop remainder function
scattering amplitude
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » Extracting Einstein from the Loop-Level Double-Copy
- » Covariant Color-Kinematics Duality
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Massive Double Copy in Three Spacetime Dimensions
- » All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
- » Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Composing Effective Prediction at Five Points
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Simple encoding of higher derivative gauge and gravity counterterms
- » Amplitudes from Coulomb to Kerr-Taub-NUT
- » Mining the Geodesic Equation for Scattering Data
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Building Bases of Loop Integrands
- » How tropical are seven- and eight-particle amplitudes?
- » Tidal Effects in the Post-Minkowskian Expansion
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Soft gluon emission at two loops in full color
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Double copy for massive quantum particles with spin
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Analytic result for a two-loop five-particle amplitude
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
- » Cluster adjacency properties of scattering amplitudes
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » Color-Kinematics Duality for QCD Amplitudes
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Bootstrapping an NMHV amplitude through three loops
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » Towards a Basis for Planar Two-Loop Integrals
scattering amplitude pole
scattering amplitude singularity
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
scattering amplitude unitarity
scattering amplitude yang-mills
scattering amplitudes
- » Analytic results for two-loop planar master integrals for Bhabha scattering
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Massive Double Copy in Three Spacetime Dimensions
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Composing Effective Prediction at Five Points
- » A Three-Point Form Factor Through Five Loops
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Building Bases of Loop Integrands
- » Unitarization from Geometry
- » How tropical are seven- and eight-particle amplitudes?
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
- » Soft gluon emission at two loops in full color
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Double copy for massive quantum particles with spin
- » The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
- » All Lectures for the first SAGEX scientific School (DESY)
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Gravitational Radiation from Color-Kinematics Duality
- » The Double Pentaladder Integral to All Orders
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » Inverse of the String Theory KLT Kernel
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Color-Kinematics Duality for QCD Amplitudes
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Bootstrapping an NMHV amplitude through three loops
- » Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
- » All one-loop NMHV gluon amplitudes in N=1 SYM
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
scattering classical
scattering equations
scattering gravitation
- » SUSY in the Sky with Gravitons
- » Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
scattering-equations
self-duality
seven-loop
sigma model nonlinear
- » Covariant Color-Kinematics Duality
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
sigma models
simplex
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
singularity
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » An Elliptic Yangian-Invariant, `Leading Singularity'
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » Dispersion relation for hadronic light-by-light scattering: pion pole
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
singularity ultraviolet
six-loop
six-point
sl(2 r)
sl(n)
so(4 4)
software
- » Converting from Schnetz f-alphabet to MZVs through weight 14
- » A Monte Carlo Approach to the 4D Scattering Equations
- » Amplitudes related Graph Tools
- » Non-abelian Z-theory
- » Bourjaily -- Mathematica for N=4 Tree Amplitudes
space calabi-yau
space-time
space-time dimension 3
space-time dimension 4
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
space-time schwarzschild
spectral
spectrum discrete
sphere
spin
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Double copy for massive quantum particles with spin
spin 2
spin chains
spin effect
spinless
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
spinning massive particles
spinor
spinor helicity
splitting functions
star
star binary
- » Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
- » Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
star massive
string
- » Inverse of the String Theory KLT Kernel
- » Berends-Giele recursion for double-color-ordered amplitudes
string amplitudes
- » All Lectures for the first SAGEX scientific School (DESY)
- » All Summer School Lectures for Amplitudes 2018
string correlation function
string massless
string model
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » Inverse of the String Theory KLT Kernel
string model boson
string model compactification
string model effective action
string open
string tension
string theory
string theory quantum gravity gauge/gravity duality
string-theory
strong coupling
strong interactions
structure
- » Structure of two-loop SMEFT anomalous dimensions via on-shell methods
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Decomposing color structure into multiplet bases
- » On the Renormalization of the Effective Field Theory of Large Scale Structures
stu model
su(1 1)/u(1)
su(3)
su(n)
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Decomposing color structure into multiplet bases
- » Orthogonal multiplet bases in SU(Nc) color space
sum rule
super yang-mills
superfield
supergravity
- » One-loop matrix elements of effective superstring interactions: $α'$-expanding loop integrands
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Ultraviolet Properties of N = 8 Supergravity at Five Loops
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
supergravity 2
supergravity 4
supergravity 5
supergravity 6
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
supergravity 8
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » Black holes in N=8 supergravity from SO(4,4) hidden symmetries
- » Amplitudes at Infinity
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
supergravity action
supergravity conformal
supergravity duality
supergravity models
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
- » N=4 conformal supergravity: the complete actions
- » The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
superspaces
superstring open
superstrings and heterotic strings
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » Inverse of the String Theory KLT Kernel
- » Berends-Giele recursion for double-color-ordered amplitudes
supersymmetric gauge theory
- » A Three-Point Form Factor Through Five Loops
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » How tropical are seven- and eight-particle amplitudes?
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
- » Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » All one-loop NMHV gluon amplitudes in N=1 SYM
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
supersymmetry
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Simple encoding of higher derivative gauge and gravity counterterms
- » The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
- » All Lectures for the first SAGEX scientific School (DESY)
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
- » Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » Color-Kinematics Duality for QCD Amplitudes
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
supersymmetry 1
supersymmetry 2
- » SUSY in the Sky with Gravitons
- » Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
- » The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
- » Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
- » Hidden Supersymmetry May Imply Duality Invariance
supersymmetry 4
- » Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
- » All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » A Three-Point Form Factor Through Five Loops
- » All-order amplitudes at any multiplicity in the multi-Regge limit
- » Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
- » How tropical are seven- and eight-particle amplitudes?
- » Cluster patterns in Landau and Leading Singularities via the Amplituhedron
- » The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
- » Soft gluon emission at two loops in full color
- » Algebraic singularities of scattering amplitudes from tropical geometry
- » Manifestly Dual-Conformal Loop Integration
- » Analytic result for a two-loop five-particle amplitude
- » The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
- » Amplitudes at Infinity
- » The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » The Double Pentaladder Integral to All Orders
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » Cluster adjacency properties of scattering amplitudes
- » Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
- » Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
- » Bootstrapping an NMHV amplitude through three loops
- » Hexagon functions and the three-loop remainder function
- » Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » Global Poles of the Two-Loop Six-Point N=4 SYM integrand
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
- » Bootstrapping the three-loop hexagon
supersymmetry hidden symmetry
- » Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
- » Hidden Supersymmetry May Imply Duality Invariance
symmetry conformal
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
- » A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
symmetry crossing
symmetry discrete
symmetry gauge
taub-nut
taylor expansion
- » Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
- » Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
tension
tensor energy-momentum
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » A Three-Point Form Factor Through Five Loops
tensor killing
tensor weyl
top mass
top pair production
topological
topological expansion for strings
topological field theories
topology
torus
tracking
transcendental weight
transformation gauge
tree approximation
- » The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
- » The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
- » All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
- » Composing Effective Prediction at Five Points
- » Kinematic numerators from the worldsheet: cubic trees from labelled trees
- » Scattering amplitudes in affine gravity
- » Simple encoding of higher derivative gauge and gravity counterterms
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » Double copy for massive quantum particles with spin
- » Analytic result for a two-loop five-particle amplitude
- » Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Berends-Giele recursion for double-color-ordered amplitudes
- » Color-Kinematics Duality for QCD Amplitudes
- » Recursion in multiplet bases for tree-level MHV gluon amplitudes
- » Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
- » Towards a Basis for Planar Two-Loop Integrals
tree level
tree-level
trees and forests
triality
triangulation
two-loop
- » Integrated One and Two Loop Four-Point Super-QCD
- » The two-loop five-point amplitude in N=8 supergravity
- » Two-loop supersymmetric QCD and half-maximal supergravity integrands
two-photon
- » The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
u-duality
ultraviolet
- » Building Bases of Loop Integrands
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Ultraviolet Properties of N = 8 Supergravity at Five Loops
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- » Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
- » Double-Copy Constructions and Unitarity Cuts
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- » Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- » Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- » The Ultraviolet Behavior of N=8 Supergravity at Four Loops
uniform lightcone gauge
unitarity
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
- » Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
- » The Two-Loop Four-Graviton Scattering Amplitudes
- » Black Hole Binary Dynamics from the Double Copy and Effective Theory
- » Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
- » The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
- » Differential equations from unitarity cuts: nonplanar hexa-box integrals
- » The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- » A unitarity compatible approach to one-loop amplitudes with massive fermions
- » Local integrands for two-loop all-plus Yang-Mills amplitudes
- » Double-Copy Constructions and Unitarity Cuts
velocity
- » Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
- » Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
- » Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
velocity dependence
vertex operators
video
- » SAGEX 2021 PhD Organized Summer School
- » SAGEX Mathematica and Maple School Lectures
- » All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
- » All Lectures for the first SAGEX scientific School (DESY)
- » All Summer School Lectures for Amplitudes 2018
- » Amplitudes related Graph Tools
- » All Summer School Lectures for Amplitudes 2017
virtual corrections
wave model
weak coupling
wilson loop
- » Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
- » All orders results for self-crossing Wilson loops mimicking double parton scattering
- » Bootstrapping an NMHV amplitude through three loops
- » Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
- » Bootstrapping the three-loop hexagon
wilson ’t hooft and polyakov loops
yang-mills
- » Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- » Simple encoding of higher derivative gauge and gravity counterterms
- » String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
- » The two-loop five-point amplitude in $mathcal N=8$ supergravity
- » Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- » The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
yang-mills supersymmetry
- » Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
- » Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
- » An Elliptic Yangian-Invariant, `Leading Singularity'
- » Building Bases of Loop Integrands
- » Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
- » Hexagon functions and the three-loop remainder function
- » The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
- » D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops