Scattering amplitudes and form factors in EFT
Stefano De Angelis’s thesis
#2022
Geometrical aspects of amplitudes and correlators in N=4 SYM
Gabriele Dian’s thesis
Classical Gravity from Gluon Interactions
Canxin Shi’s thesis
On-shell techniques for Effective Field Theories
Manual A. Huber’s thesis
Massive 2- and 3-loop corrections to hard scattering processes in QCD
Marco Saragnese’s thesis
Perturbative integrability in 1+1 dimensions and affine Toda theories
Davide Polvara’s thesis
Multipoint conformal blocks in conformal field theories
Lorenzo Quintavalle’s thesis
Closed. A&I Group, Northwestern University
Postdoc in hep-th
Non-planar anomalous dimensions in sYM theories
Anne Spiering’s thesis
Coherent states and classical radiative observables in the S-matrix formalism
Riccardo Gonzo’s thesis
#2021
Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
Paper and ancillary files.
Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
Paper and ancillary files.
Unitarity approaches to two-loop all-plus amplitudes
Sebastian Pogel’s thesis
The $ppto W(to lν)+γ$ process at next-to-next-to-leading order
Paper and ancillary files.
SUSY in the Sky with Gravitons
Paper and ancillary files.
Massive matter and the double copy – Bootstrapping amplitudes in gauge and gravity theories
Ingrid Vazquez-Holm’s thesis
Standard Model EFTs via On-Shell Methods
Paper and ancillary files.
Extracting Einstein from the Loop-Level Double-Copy
Paper and ancillary files.
SAGEX 2021 PhD Organized Summer School
Links to Video
Analytic results for two-loop planar master integrals for Bhabha scattering
Paper and ancillary files.
Covariant Color-Kinematics Duality
Paper and ancillary files.
The On-Shell Highway To Waveforms
Andrea Cristofoli’s thesis
The Eikonal Approach to Gravitational Scattering and Radiation at $mathcal O(G^3)$
Paper and ancillary files.
One-loop matrix elements of effective superstring interactions: $α’$-expanding loop integrands
Paper and ancillary files.
Massive Double Copy in Three Spacetime Dimensions
Paper and ancillary files.
Heavy particles and the binary inspiral problem
Kays Haddad’s thesis
All loop structures in Supergravity Amplitudes on $AdS_5 times S^5$ from CFT
Paper and ancillary files.
Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
Paper and ancillary files.
Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
Paper and ancillary files.
Three-loop color-kinematics duality: 24-dimensional solution space induced by new generalized gauge transformations
Paper and ancillary files.
The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
Paper and ancillary files.
All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
Paper and ancillary files.
Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
Paper and ancillary files.
Scattering Amplitudes and Conservative Binary Dynamics at ${cal O}(G^4)$
Paper and ancillary files.
Planar two-loop integrals for $mathbf{μe}$ scattering in QED with finite lepton masses
Paper and ancillary files.
Composing Effective Prediction at Five Points
Paper and ancillary files.
A Three-Point Form Factor Through Five Loops
Paper and ancillary files.
Radiative Classical Gravitational Observables at $mathcal O(G^3)$ from Scattering Amplitudes
Paper and ancillary files.
Kinematic numerators from the worldsheet: cubic trees from labelled trees
Paper and ancillary files.
Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
Paper and ancillary files.
Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
Paper and ancillary files.
SAGEX Mathematica and Maple School Lectures
Links to Video
Quadratic-in-Spin Hamiltonian at $mathcal{O}(G^2)$ from Scattering Amplitudes
Paper and ancillary files.
Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
Paper and ancillary files.
Four-loop collinear anomalous dimensions in QCD and $mathcal{N} = 4$ super Yang-Mills
Paper and ancillary files.
Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
Paper and ancillary files.
#2020
An Elliptic Yangian-Invariant, `Leading Singularity’
Paper and ancillary files.
Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
Paper and ancillary files.
Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
Paper and link to github.
All-order amplitudes at any multiplicity in the multi-Regge limit
Paper and ancillary files.
Scattering amplitudes in affine gravity
Paper and ancillary files.
Simple encoding of higher derivative gauge and gravity counterterms
Paper and ancillary files.
Cosmic Wheels: From integrability to the Galois coaction
Paper and ancillary files.
Amplitudes from Coulomb to Kerr-Taub-NUT
Paper and ancillary files.
Mining the Geodesic Equation for Scattering Data
Paper and ancillary files.
Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $mathcal{N} = 4$ Super Yang-Mills and $mathcal{N} = 8$ Supergravity
Paper and ancillary files.
Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
Paper and ancillary files.
Building Bases of Loop Integrands
Paper and ancillary files.
Unitarization from Geometry
Paper and ancillary files.
How tropical are seven- and eight-particle amplitudes?
Paper and ancillary files.
Tidal Effects in the Post-Minkowskian Expansion
Paper and ancillary files.
Structure of two-loop SMEFT anomalous dimensions via on-shell methods
Paper and ancillary files.
Cluster patterns in Landau and Leading Singularities via the Amplituhedron
Paper and ancillary files.
The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
Paper and ancillary files.
Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
Paper and ancillary files.
The Origin of the Six-Gluon Amplitude in Planar $mathcal{N}=4$ SYM
Paper and ancillary files.
Black holes in N=8 supergravity from SO(4,4) hidden symmetries
Paper and ancillary files.
Classical Gravitational Scattering at ${cal O}(G^3)$ from Feynman Diagrams
Paper and ancillary files.
One-loop renormalization in Galileon effective field theory
Paper and ancillary files.
Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
Paper and ancillary files.
The Two-Loop Four-Graviton Scattering Amplitudes
Paper and ancillary files.
All Lectures for the second SAGEX scientific School (Homboldt-University-Berlin)
Links to Video and Slides
Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
Paper and ancillary files.
Black Hole Binary Dynamics from the Double Copy and Effective Theory
Paper and ancillary files.
Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
Paper and ancillary files.
#2019
Soft gluon emission at two loops in full color
Paper and ancillary files.
Algebraic singularities of scattering amplitudes from tropical geometry
Paper and ancillary files.
Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
Paper and ancillary files.
N=4 conformal supergravity: the complete actions
Paper and ancillary files.
Analytic Form of the Three-loop Four-gluon Scattering Amplitudes in Yang-Mills Theory
Paper and ancillary files.
String Correlators: Recursive Expansion, Integration-by-Parts and Scattering Equations
Paper and ancillary files.
Double copy for massive quantum particles with spin
Paper and ancillary files.
The Cosmic Galois Group and Extended Steinmann Relations for Planar $mathcal{N} = 4$ SYM Amplitudes
Paper and ancillary files.
All Lectures for the first SAGEX scientific School (DESY)
Links to Video and Slides
Converting from Schnetz f-alphabet to MZVs through weight 14
Related paper and mathematica code.
Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
Paper and ancillary files.
Master integrals for the NNLO virtual corrections to $q bar{q} rightarrow t bar{t}$ scattering in QCD: the non-planar graphs
Paper and ancillary files.
Integrated One and Two Loop Four-Point Super-QCD
Paper and Mathematica expressions.
The Full-Color Two-Loop Four-Gluon Amplitude in $mathcal{N} = 2$ Super-QCD
Paper and ancillary files.
Manifestly Dual-Conformal Loop Integration
Paper and ancillary files.
The $b_1$ resonance in coupled $πω$, $πφ$ scattering from lattice QCD
Paper and ancillary files.
Analytic result for a two-loop five-particle amplitude
Paper and ancillary files.
The two-loop five-point amplitude in $mathcal{N} =4$ super-Yang-Mills theory
Paper and ancillary files.
Six-Gluon Amplitudes in Planar N=4 Super-Yang-Mills Theory at Six and Seven Loops
Paper and mathematica expressions.
The two-loop five-point amplitude in $mathcal N=8$ supergravity
Paper and ancillary files.
Four-graviton scattering to three loops in ${mathcal N}=8$ supergravity
Paper and ancillary files.
The two-loop five-point amplitude in N=8 supergravity
Paper and Mathematica expressions.
The two-loop five-particle amplitude in $mathcal{N}=8$ supergravity
Paper and ancillary files.
Differential equations from unitarity cuts: nonplanar hexa-box integrals
Paper and ancillary files.
#2018
Amplitudes at Infinity
Paper and ancillary files.
The Multi-Regge Limit of the Eight-Particle Amplitude Beyond Leading Logarithmic Accuracy
Paper and ancillary files.
The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
Paper and ancillary files.
Dispersion relation for hadronic light-by-light scattering: pion pole
Paper and ancillary files.
Gravitational Radiation from Color-Kinematics Duality
Paper and ancillary files.
Master integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphs
Paper and ancillary files.
The Double Pentaladder Integral to All Orders
Paper and ancillary files.
All Summer School Lectures for Amplitudes 2018
Links to Video and Slides
A Monte Carlo Approach to the 4D Scattering Equations
Josef Farrow – Paper and code applying Monte-Carlo to solving 4D CHY Scattering Equations.
Cyclic Mario Worlds – Color-Decomposition for One-Loop QCD
Paper and ancillary files.
N=4 SYM and N=8 SG 5-loop integrands
Paper and Mathematica expressions.
Ultraviolet Properties of N = 8 Supergravity at Five Loops
Paper and ancillary files.
Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
Paper and ancillary files.
#2017
The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
Paper and ancillary files.
Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
Paper and ancillary files.
Cluster adjacency properties of scattering amplitudes
Paper and ancillary files.
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
Paper and ancillary files.
Amplitudes related Graph Tools
JJMC – Simple implementation of some amplitudes related graph tools.
All Summer School Lectures for Amplitudes 2017
Links to Video and Slides
Two-loop supersymmetric QCD and half-maximal supergravity integrands
Paper and Mathematica expressions.
Abelian Z-theory: NLSM amplitudes and alpha’-corrections from the open string
Paper and ancillary files.
Inverse of the String Theory KLT Kernel
Paper and ancillary files.
A unitarity compatible approach to one-loop amplitudes with massive fermions
Paper and ancillary files.
Bipartite Graphs, On-Shell Diagrams, and Bipartite Field Theories: a Computational Package in Mathematica
Paper and ancillary files.
#2016
Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
Paper and ancillary files.
Non-abelian Z-theory
C. Mafra and O. Schlotterer – Paper and form code.
All orders results for self-crossing Wilson loops mimicking double parton scattering
Paper and ancillary files.
Local integrands for two-loop all-plus Yang-Mills amplitudes
Paper and ancillary files.
Berends-Giele recursion for double-color-ordered amplitudes
Paper and ancillary files.
Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
Paper and ancillary files.
Positivity Sectors and the Amplituhedron
Paper and ancillary files.
#2015
Color-Kinematics Duality for QCD Amplitudes
Paper and ancillary files.
Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
Paper and ancillary files.
A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
Paper and ancillary files.
Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
Paper and ancillary files.
Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
Paper and ancillary files.
Double-Copy Constructions and Unitarity Cuts
Paper and ancillary files.
Recursion in multiplet bases for tree-level MHV gluon amplitudes
Paper and ancillary files.
Decomposing color structure into multiplet bases
Paper and ancillary files.
Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
Paper and ancillary files.
#2014
Bootstrapping an NMHV amplitude through three loops
Paper and ancillary files.
Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
Paper and ancillary files.
Color-Kinematic Duality in ABJM Theory Without Amplitude Relations
Paper and ancillary files.
#2013
All one-loop NMHV gluon amplitudes in N=1 SYM
Paper and ancillary files.
Hexagon functions and the three-loop remainder function
Paper and ancillary files.
Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
Paper and ancillary files.
The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
Paper and ancillary files.
Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
Paper and ancillary files.
Hidden Supersymmetry May Imply Duality Invariance
Paper and ancillary files.
On the Renormalization of the Effective Field Theory of Large Scale Structures
Paper and ancillary files.
#2012
The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
Paper and ancillary files.
D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
Paper and ancillary files.
Global Poles of the Two-Loop Six-Point N=4 SYM integrand
Paper and ancillary files.
Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
Paper and ancillary files.
Orthogonal multiplet bases in SU(Nc) color space
Paper and ancillary files.
Review of AdS/CFT Integrability: An Overview
Paper and ancillary files.
The Ultraviolet Behavior of N=8 Supergravity at Four Loops
Paper and ancillary files.
Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
Paper and ancillary files.
#2011
Bootstrapping the three-loop hexagon
Paper and ancillary files.
Towards a Basis for Planar Two-Loop Integrals
Paper and ancillary files.
#2010
Bourjaily – Mathematica for N=4 Tree Amplitudes
Jacob Bourjaily – Paper and Mathematica code.