Classical Polylogarithms for Amplitudes and Wilson Loops

Abstract

We present a compact analytic formula for the two-loop six-particle MHV remainder function (equivalently, the two-loop light-like hexagon Wilson loop) in N = 4 supersymmetric Yang-Mills theory in terms of the classical polylogarithm functions Li_k with cross-ratios of momentum twistor invariants as their arguments. In deriving our result we rely on results from the theory of motives.

11 pages, v2: journal version, minor corrections and simplifications, additional details available at http://goo.gl/Cl0y

References in corpus (29)

• Harmonic Polylogarithms
• Gluon scattering amplitudes at strong coupling
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Hexagon Wilson loop = six-gluon MHV amplitude
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• Thermodynamic Bubble Ansatz
• Y-system for Scattering Amplitudes
• Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space
• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Two-Loop Polygon Wilson Loops in N=4 SYM
• Iterative Structure Within The Five-Particle Two-Loop Amplitude
• Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
• Iterated amplitudes in the high-energy limit
• Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
• The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics
• On the two-loop hexagon Wilson loop remainder function in N=4 SYM
• One-loop derivation of the Wilson polygon - MHV amplitude duality

Cited by in corpus (418)

• Multiloop integrals in dimensional regularization made simple
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Lectures on differential equations for Feynman integrals
• From polygons and symbols to polylogarithmic functions
• Bootstrapping the three-loop hexagon
• PolyLogTools - Polylogs for the masses
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs
• Motivic Amplitudes and Cluster Coordinates
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Elliptic multiple zeta values and one-loop superstring amplitudes
• Bootstrapping an NMHV amplitude through three loops
• Soft triple-real radiation for Higgs production at N3LO
• Uniqueness of two-loop master contours
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Heptagons from the Steinmann Cluster Bootstrap
• Notes on the scattering amplitude / Wilson loop duality
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Pentagon functions for massless planar scattering amplitudes
• The super-correlator/super-amplitude duality: Part I
• Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Leading singularities and off-shell conformal integrals
• Collider Physics at the Precision Frontier
• Single-valued harmonic polylogarithms and the multi-Regge limit
• Pulling the straps of polygons
• The two-loop five-point amplitude in $\mathcal{N}=4$ super-Yang-Mills theory
• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
• Analytic two-loop form factors in N=4 SYM
• Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM
• All master integrals for three-jet production at NNLO
• The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Elliptic Feynman integrals and pure functions
• The two-loop helicity amplitudes for $q{\bar{q}}^{\prime }\to V_1{V}_2\to 4\mathrm{leptons}$
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Iterative structure of finite loop integrals
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Unwinding the Amplituhedron in Binary
• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
• epsilon: A tool to find a canonical basis of master integrals
• Pentagon Functions for Scattering of Five Massless Particles
• Cluster adjacency properties of scattering amplitudes
• Bootstrapping the QCD soft anomalous dimension
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• Three-mass triangle integrals and single-valued polylogarithms
• Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
• Generalised power series expansions for the elliptic planar families of Higgs + jet production at two loops
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Feynman integrals and hyperlogarithms
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Evidence for a Nonplanar Amplituhedron
• Analytic result for a two-loop five-particle amplitude
• A non-planar two-loop three-point function beyond multiple polylogarithms
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• On form factors in N=4 sym
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Multiple polylogarithms with algebraic arguments and the two-loop EW-QCD Drell-Yan master integrals
• New differential equations for on-shell loop integrals
• Generic multiloop methods and application to N=4 super-Yang-Mills
• BFKL equation for the adjoint representation of the gauge group in the next-to-leading approximation at N=4 SUSY
• Two-Loop Integrals for Planar Five-Point One-Mass Processes
• Bootstrapping pentagon functions
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• Prescriptive Unitarity
• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Scattering Amplitudes and Wilson Loops in Twistor Space
• The singular behavior of one-loop massive QCD amplitudes with one external soft gluon
• The algebraic structure of cut Feynman integrals and the diagrammatic coaction
• Cluster adjacency and the four-loop NMHV heptagon
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Cluster algebras for Feynman integrals
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
• Analytic results for two-loop master integrals for Bhabha scattering I
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• The super-correlator/super-amplitude duality: Part II
• A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence
• Massive amplitudes on the Coulomb branch of N=4 SYM
• Energy-energy correlations at next-to-next-to-leading order
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Differential equations from unitarity cuts: nonplanar hexa-box integrals
• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• Are scattering amplitudes dual to super Wilson loops?
• The last of the simple remainders
• MHV Diagrams in Momentum Twistor Space
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• From multiple unitarity cuts to the coproduct of Feynman integrals
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• Kinematic Hopf Algebra for BCJ Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory
• Exact results for 5d SCFTs of long quiver type
• Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond
• The Double Pentaladder Integral to All Orders
• A Three-Point Form Factor Through Five Loops
• Non-planar master integrals for the production of two off-shell vector bosons in collisions of massless partons
• A Cluster Bootstrap for Two-Loop MHV Amplitudes
• Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
• The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
• Cluster adjacency beyond MHV
• Rationalizing Loop Integration
• Mellin Amplitudes for Dual Conformal Integrals
• On the reduction of generalized polylogarithms to ${\text{Li}}_n$ and ${\text{Li}}_{2,2}$ and on the evaluation thereof
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Nonsinglet pentagons and NMHV amplitudes
• Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$
• Simple loop integrals and amplitudes in N=4 SYM
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
• The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• Fermionic pentagons and NMHV hexagon
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Simplified differential equations approach for Master Integrals
• Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
• BFKL approach and 2->5 MHV amplitude
• How tropical are seven- and eight-particle amplitudes?
• Implications of the Landau Equations for Iterated Integrals
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Analytic Results for MHV Wilson Loops
• Gravity On-shell Diagrams
• Landau Singularities and Symbology: One- and Two-loop MHV Amplitudes in SYM Theory
• Amplitudes meet Cosmology: A (Scalar) Primer
• Landau Singularities from the Amplituhedron
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• Multi-Loop Positivity of the Planar $\mathcal{N}=4$ SYM Six-Point Amplitude
• Folding Amplitudes into Form Factors: An Antipodal Duality
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• Caravel: A C++ Framework for the Computation of Multi-Loop Amplitudes with Numerical Unitarity
• Lifting Heptagon Symbols to Functions
• Algorithms and tools for iterated Eisenstein integrals
• Star Integrals, Convolutions and Simplices
• Leading-Color Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• The ice cone family and iterated integrals for Calabi-Yau varieties
• Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals
• Mandelstam cuts and light-like Wilson loops in N=4 SUSY
• Two-loop Octagons, Algebraic Letters and $\bar{Q}$ Equations
• Generalised ladders and single-valued polylogarithms
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Scattering Amplitudes in Quantum Field Theory
• The SU(2|3) dynamic two-loop form factors
• Towards a new approximation for pair-production and associated-production of the Higgs boson
• MHV diagrams in twistor space and the twistor action
• The massless hexagon integral in D = 6 dimensions
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• The colour octet representation of the non-forward BFKL Green function
• Evaluating two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence
• The double-soft integral for an arbitrary angle between hard radiators
• MHV amplitude for 3->3 gluon scattering in Regge limit
• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
• All-loop singularities of scattering amplitudes in massless planar theories
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Stratifying On-Shell Cluster Varieties: the Geometry of Non-Planar On-Shell Diagrams
• Soft gluon emission at two loops in full color
• Bootstrapping two-loop Feynman integrals for planar N=4 sYM
• All-order amplitudes at any multiplicity in the multi-Regge limit
• From Webs to Polylogarithms
• Logarithmic forms and differential equations for Feynman integrals
• Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
• Superstring amplitudes and the associator
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• Massive planar and non-planar double box integrals for light Nf contributions to gg->tt
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory at multi-Regge kinematics: Conformal Regge pole contribution
• Correlation function of null polygonal Wilson loops with local operators
• The elliptic double box and symbology beyond polylogarithms
• Amplitudes, Hopf algebras and the colour-kinematics duality
• Hexagon OPE Resummation and Multi-Regge Kinematics
• Dual Conformal Structure Beyond the Planar Limit
• The complete set of two-loop master integrals for Higgs + jet production in QCD
• The one-loop six-dimensional hexagon integral with three massive corners
• Implications of nonplanar dual conformal symmetry
• IBP reduction coefficients made simple
• Two-Loop Master Integrals for $q\bar{q}\to VV$: the Planar Topologies
• Antipodal Self-Duality for a Four-Particle Form Factor
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Descent equations for superamplitudes
• Prescriptive Unitarity for Non-Planar Six-Particle Amplitudes at Two Loops
• Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• Looking for a bulk point
• Notes on cluster algebras and some all-loop Feynman integrals
• On Epsilon Factorized Differential Equations for Elliptic Feynman Integrals
• Symbol Alphabets from Plabic Graphs
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Symbol Alphabets from the Landau Singular Locus
• The symbol and alphabet of two-loop NMHV amplitudes from $\bar{Q}$ equations
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Truncated cluster algebras and Feynman integrals with algebraic letters
• The seven-gluon amplitude in multi-Regge kinematics beyond leading logarithmic accuracy
• The Complete Two-Loop Integrated Jet Thrust Distribution In Soft-Collinear Effective Theory
• The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Multiple Gluon Exchange Webs
• Manifestly Dual-Conformal Loop Integration
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• On factorization of multiparticle pentagons
• The Sklyanin Bracket and Cluster Adjacency at All Multiplicity
• Amplitudes from superconformal Ward identities
• Wilson loop OPE, analytic continuation and multi-Regge limit
• Functional relations for elliptic polylogarithms
• All-Mass $n$-gon Integrals in $n$ Dimensions
• Symbol Alphabets from Tensor Diagrams
• Symbology for elliptic multiple polylogarithms and the symbol prime
• All-Helicity Symbol Alphabets from Unwound Amplituhedra
• The six-point remainder function to all loop orders in the multi-Regge limit
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production
• Wilson Loops @ 3-Loops in Special Kinematics
• Constraints on Sequential Discontinuities from the Geometry of On-shell Spaces
• Multi-Regge Limit of the n-Gluon Bubble Ansatz
• Analytic Computation of Three-point Energy Correlator in QCD
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function
• Multichannel Conformal Blocks for Polygon Wilson Loops
• Schubert Problems, Positivity and Symbol Letters
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• OPE for Super Loops
• Analytic properties of high energy production amplitudes in N=4 SUSY
• Bootstrapping six-gluon scattering in planar $\mathcal{N}=4$ super-Yang-Mills theory
• Algebraic branch points at all loop orders from positive kinematics and wall crossing
• A study of Feynman integrals with uniform transcendental weights and the symbology from dual conformal symmetry
• The Wilson Loop -- Large Spin OPE Dictionary
• The One-Loop One-Mass Hexagon Integral in D=6 Dimensions
• On the computation of finite bottom-quark mass effects in Higgs boson production
• Form factor recursion relations at loop level
• Bootstrapping elliptic Feynman integrals using Schubert analysis
• OPE for null Wilson loops and open spin chains
• Integrable spin chains and scattering amplitudes
• Feynman Integrals and Scattering Amplitudes from Wilson Loops
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Two-loop Sudakov Form Factor in ABJM
• An Introduction to Webs
• The Wilson-loop $d\log$ representation for Feynman integrals
• Bootstrapping a Two-Loop Four-Point Form Factor
• A first look at the function space for planar two-loop six-particle Feynman integrals
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Intersection theory rules symbology
• Heptagon Amplitude in the Multi-Regge Regime
• Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• The Two-Loop Remainder Function for Eight and Nine Particles
• Null Polygonal Wilson Loops in Full N=4 Superspace
• Symbol Alphabets from Plabic Graphs II: Rational Letters
• Cross-Order Integral Relations from Maximal Cuts
• T-functions and multi-gluon scattering amplitudes
• Double-real contribution to the quark beam function at N${}^3$LO QCD
• The Two-Loop Symbol of all Multi-Regge Regions
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
• Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
• Symbols of One-Loop Integrals From Mixed Tate Motives
• Cluster Polylogarithms for Scattering Amplitudes
• Rooting Out Letters: Octagonal Symbol Alphabets and Algebraic Number Theory
• Notes on polytopes, amplitudes and boundary configurations for Grassmannian string integrals
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
• One-loop hexagon integral to higher orders in the dimensional regulator
• The Three-loop MHV Octagon from $\bar{Q}$ equations
• Position Space Equations for Banana Feynman Diagrams
• Schottky-Kronecker forms and hyperelliptic polylogarithms
• Integrated negative geometries in ABJM
• The Epsilon Expansion of Feynman Diagrams via Hypergeometric Functions and Differential Reduction
• An Infinite Family of Elliptic Ladder Integrals
• The Full-Color Two-Loop Four-Gluon Amplitude in $\mathcal{N}=2$ Super-QCD
• Cutting-Edge Tools for Cutting Edges
• Nonperturbative enhancement of superloop at strong coupling
• Conformal anomaly of super Wilson loop
• Analytic structure of the $n=7$ scattering amplitude in $\mathcal{N}=4$ SYM theory in multi-Regge kinematics: Conformal Regge cut contribution
• Some analytic results for two-loop scattering amplitudes
• Transforming the Bootstrap: Using Transformers to Compute Scattering Amplitudes in Planar N = 4 Super Yang-Mills Theory
• Cosmic Wheels: From integrability to the Galois coaction
• One-Loop Soft Theorems via Dual Superconformal Symmetry
• The recursive structure of Baikov representations I: generics and application to symbology
• Wilson loop remainder function for null polygons in the limit of self-crossing
• Comments on all-loop constraints for scattering amplitudes and Feynman integrals
• Symbol Recursion for the dS Wave Function
• Towards Analytic Structure of Feynman Parameter Integrals with Rational Curves
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• A Finite $S$-Matrix
• Two-loop massive QCD and QED helicity amplitudes for light-by-light scattering
• Gravity loop integrands from the ultraviolet
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Multiple polylogarithms in weight 4
• SOFIA: Singularities of Feynman Integrals Automatized
• All two-loop MHV remainder functions in multi-Regge kinematics
• Collinear and Soft Limits of Multi-Loop Integrands in N=4 Yang-Mills
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• The two-loop eight-point amplitude in ABJM theory
• Higher-genus Fay-like identities from meromorphic generating functions
• Multi-Particle Amplitudes from the Four-Point Correlator in Planar N=4 SYM
• $D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• Hexagon remainder function in the limit of self-crossing up to three loops
• On 1D, N = 4 Supersymmetric SYK-Type Models (I)
• Alphabet of one-loop Feynman integrals
• Non-planar BCFW Grassmannian Geometries
• The four-loop six-gluon NMHV ratio function
• Natural Boundaries for Scattering Amplitudes
• Conformally Regulated Direct Integration of the Two-Loop Heptagon Remainder
• Uplifting Amplitudes in Special Kinematics
• Non-Planar On-Shell Diagrams
• NNLO QCD corrections to $pp\to {\gamma }^{\ast }{\gamma }^{\ast }$ in the large $N_F$ limit
• Non-planar elliptic vertex
• Systematic approximation of multi-scale Feynman integrals
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• Maximal transcendental weight contribution of scattering amplitudes
• Position-space cuts for Wilson line correlators
• Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras
• Yangian Symmetry in N=4 super Yang-Mills
• An Origin Story for Amplitudes
• Cluster algebras in scattering amplitudes with special 2D kinematics
• A Note on Kinematic Flow and Differential Equations for Two-Site One-Loop Graph in FRW Spacetime
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Stampedes II: Null Polygons in Conformal Gauge Theory
• On a residual freedom of the next-to-leading BFKL eigenvalue in color adjoint representation in planar $\mathcal{N}=4$ SYM
• Impact factors for Reggeon-gluon transition in N = 4 SYM with large number of colours
• A nice two-loop next-to-next-to-MHV amplitude in $\mathcal{N}=4$ super-Yang-Mills
• Amplitudes from anomalous superconformal symmetry
• All orders results for self-crossing Wilson loops mimicking double parton scattering
• MHV amplitudes at strong coupling and linearized TBA equations
• Antipodal Symmetry of Two-Loop MHV Amplitudes
• A first computation of three-loop master integrals for the production of two off-shell vector bosons with different masses
• A Two-Loop Four-Point Form Factor at Function Level
• Generalized Polylogarithms in Maple
• Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change
• A note on two-loop superloop
• All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering
• Expansion of EYM Amplitudes in Gauge Invariant Vector Space
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Polylogarithm identities, cluster algebras and the N=4 supersymmetric theory
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• Wilson loops in N=6 superspace for ABJM theory
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Periods and motives in the spectral action of Robertson-Walker spacetimes
• SymBuild: a package for the computation of integrable symbols in scattering amplitudes
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• A Note on One-loop Cluster Adjacency in N = 4 SYM
• Illustrations of Integrand-Basis Building at Two Loops
• Antipodal self-duality of square fishnet graphs
• One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
• All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
• Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling
• ABJM flux-tube and scattering amplitudes
• An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
• Reclassifying Feynman integrals as special functions
• Yangian symmetry of light-like Wilson loops
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• Locally Finite Observables in sYM
• Leading singularities and chambers of Correlahedron
• Differential equations for multi-loop integrals and two-dimensional kinematics
• Polylogarithms from the bound state S-matrix
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• A new method for finding more symmetry relations of Feynman integrals
• The HiggsTools Handbook: Concepts and observables for deciphering the Nature of the Higgs Sector
• From Modular Graph Forms to Iterated Integrals
• pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• Discontinuites of BFKL amplitudes and the BDS ansatz
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Higgs-boson production in top-quark fragmentation
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Scattering Amplitudes in Gauge Theories
• Massive Two-Loop Heavy Particle Diagrams
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• On webs, polylogarithms and cluster algebras
• The Hopf Algebra Structure of the Two Loop Three Mass Non-Planar Feynman Diagram
• Explicit Evaluation of Euler-Apéry Type Multiple Zeta Star Values and Multiple $t$-Star Values
• Gravity Amplitudes from a Gaussian Matrix Model
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Gluon scattering amplitudes from gauge/string duality and integrability
• Analytic results for two-loop planar master integrals for Bhabha scattering
• Cluster Functions and Scattering Amplitudes for Six and Seven Points
• Progress on soft gluon exponentiation and long-distance singularities
• LiSK - A C++ Library for Evaluating Classical Polylogarithms and ${\text{Li}}_{22}$
• Boomerang webs up to three-loop order