Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory

Abstract

Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion relation based on properties of tree-level amplitudes only.

10 pp. Added section 4: Proof of MHV Recursion Relations

References in corpus (5)

• New Recursion Relations for Tree Amplitudes of Gluons
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Dissolving N=4 loop amplitudes into QCD tree amplitudes

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• OPE for Super Loops
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• Ising model and the positive orthogonal Grassmannian
• Twistor/ambitwistor strings and null-superstrings in spacetime of D=4,10 and 11 dimensions
• Soft theorems in maximally supersymmetric theories
• Implications of Superrotations
• Propagators, BCFW Recursion and New Scattering Equations at One Loop
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Global Residues and Two-Loop Hepta-Cuts
• Form factor recursion relations at loop level
• The Unitarity Method using a Canonical Basis Approach
• Hidden zeros are equivalent to enhanced ultraviolet scaling and lead to unique amplitudes in Tr(${\varphi }^3$) theory
• Augmented Recursion For One-loop Gravity Amplitudes
• Note on New KLT relations
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Higher Level String Resonances in Four Dimensions
• What can we learn about QCD and collider physics from N=4 super Yang-Mills?
• Deformed one-loop amplitudes in N = 4 super-Yang-Mills theory
• The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry of Scattering Amplitudes
• Massive twistor particle with spin generated by Souriau-Wess-Zumino term and its quantization
• Conformal Invariance of the One-Loop All-Plus Helicity Scattering Amplitudes
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• Spinor-helicity variables for cosmological horizons in de Sitter space
• One-Loop Calculations with BlackHat
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• The rational parts of one-loop QCD amplitudes II: The five-gluon case
• From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• The $L_{\infty }$ structure of gauge theories with matter
• Amplitude recursions with an extra marked point
• An Etude on Recursion Relations and Triangulations
• The Geometry of On-Shell Diagrams
• Pure connection formalism for gravity: Feynman rules and the graviton-graviton scattering
• Boundary Contributions Using Fermion Pair Deformation
• Gluon Tree Amplitudes in Open Twistor String Theory
• Multiparticle solutions to Einstein's equations
• Surface Kinematics and "The" Yang-Mills Integrand
• Non-planarity through unitarity in ABJM
• Note on Soft Graviton theorem by KLT Relation
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• Prescriptive Unitarity with Elliptic Leading Singularities
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Vector Boson + Jets with BlackHat and Sherpa
• Inverse Soft Factors and Grassmannian Residues
• Fermionic T-duality in the pp-wave limit
• Twistor actions for gauge theory and gravity
• Pomerons and BCFW recursion relations for strings on D-branes
• Color ordering in QCD
• Hybrid kT-factorization and impact factors at NLO
• A super MHV vertex expansion for N=4 SYM theory
• Celestial Supersymmetry
• Wilson lines, Grassmannians and Gauge Invariant Off-shell Amplitudes in N=4 SYM
• A minimal approach to the scattering of physical massless bosons
• Celestial Recursion
• Loss of locality in gravitational correlators with a large number of insertions
• Spatially covariant gravity with two degrees of freedom: perturbative analysis
• Extracting Einstein from the Loop-Level Double-Copy
• Bounds on Crossing Symmetry
• An Elliptic Yangian-Invariant, `Leading Singularity'
• QCD gluon vertices from the string-inspired formalism
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• On the New Factorizations of Yang-Mills Amplitudes
• Soft Theorems from Effective Field Theory
• BCFW recursion for TMD parton scattering
• 2-, 3- and 4-Body Decays in the Constructive Standard Model
• Double copy for Lagrangians at trilinear order
• Cross-Order Integral Relations from Maximal Cuts
• MHV Diagrams from an All-Line Recursion Relation
• Worldsheet factorization for twistor-strings
• The two-loop MHV amplitudes in N=4 supersymmetric Yang-Mills theory
• Unitarity Method with Spurious Pole
• The Noncommutative S-Matrix
• One-Loop QCD and Higgs to Partons Processes Using Six-Dimensional Helicity and Generalized Unitarity
• Comparing efficient computation methods for massless QCD tree amplitudes: Closed Analytic Formulae versus Berends-Giele Recursion
• Multiparticle Higgs and Vector Boson Amplitudes at Threshold
• Notes on Biadjoint Amplitudes, $\mathrm{Trop}G(3,7)$ and $X(3,7)$ Scattering Equations
• On tree amplitudes with gluons coupled to gravitons
• Seven parton amplitudes from recursion relations
• Scattering Amplitudes and Toric Geometry
• Near-Extremal Black Branes with n*3 Entropy Growth
• Hidden Simplicity of Gauge Theory Amplitudes
• Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Amplituhedra, and Beyond
• Recursion relations for scattering amplitudes with massive particles
• Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
• The Q-cut Representation of One-loop Integrands and Unitarity Cut Method
• Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
• N=4 SYM NMHV Loop Amplitude in Superspace
• Towards the higher point holographic momentum space amplitudes
• Complex Factorisation and Recursion for One-Loop Amplitudes
• Instantons, Twistors, and Emergent Gravity
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Soft limits of the wavefunction in exceptional scalar theories
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Soft Graviton Emission at High and Low Energies in Yukawa and Scalar Theories
• Determination of Boundary Contributions in Recursion Relation
• Tree level amplitudes from soft theorems
• EFT matching from analyticity and unitarity
• Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
• Non-uniqueness of massless transverse-traceless graviton
• Taming higher-derivative interactions and bootstrapping gravity with soft theorems
• Constructing Gravity Amplitudes from Real Soft and Collinear Factorisation
• Global Poles of the Two-Loop Six-Point N=4 SYM integrand
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• On-shell diagrams and the geometry of planar N < 4 SYM theories
• Three particle superstring amplitudes with massive legs
• Multi-spin soft bootstrap and scalar-vector Galileon
• Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes
• String theory in target space
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Recursive computation of Feynman periods
• All plus four point (A)dS graviton function using generalized on-shell recursion relation
• Uniqueness from locality and BCFW shifts
• The Role of Möbius Constants and Scattering Functions in CHY Scalar Amplitudes
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian
• Quantum corrections to tidal Love number for Schwarzschild black holes
• Generation Function For One-loop Tensor Reduction
• Conformal anomaly of super Wilson loop
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• One-loop Feynman Integral Reduction by Differential Operators
• On-shell diagrammatics and the perturbative structure of planar gauge theories
• Gearing up for the next generation of LFV experiments, via on-shell methods
• Scattering amplitudes in YM and GR as minimal model brackets and their recursive characterization
• The ChPT: top-down and bottom-up
• Global Structure of Curves from Generalized Unitarity Cut of Three-loop Diagrams
• Massive Quark-Gluon Scattering Amplitudes at Tree Level
• Nonrelativistic effective field theories with enhanced symmetries and soft behavior
• Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations
• The Structure of Multiloop Amplitudes in Gauge and Gravity Theories
• A Scattering Amplitude for Massive Particles in AdS
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• On-shell recursion for massive fermion currents
• Bootstrap and Amplitudes: A Hike in the Landscape of Quantum Field Theory
• Weights and recursion relations for ${\varphi }^p$ tree amplitudes from the positive geometry
• Form Factor and Boundary Contribution of Amplitude
• First-quantized N=4 Yang-Mills
• Hidden Conformal Symmetry in Tree-Level Graviton Scattering
• All rational one-loop Einstein-Yang-Mills amplitudes at four points
• Recursion relations for multi-gluon off-shell amplitudes on the light-front and Wilson lines
• Exploring minijets beyond the leading power
• Automated Evaluation of One-Loop Six-Point Processes for the LHC
• KLT-Like Behaviour of Inflationary Graviton Correlators
• Direct Evaluation of $n$-point single-trace MHV amplitudes in 4d Einstein-Yang-Mills theory using the CHY Formalism
• Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles
• Consistency conditions from generalized-unitarity
• One-loop renormalization and the S-matrix
• Note on the asymptotic structure of Kerr-Schild form
• The CHY representation of tree-level primitive QCD amplitudes
• Coordinate-space singularities of massless gauge theories
• Scattering Amplitude from Quantum Computing with Reduction Formula
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Gravity loop integrands from the ultraviolet
• A graphic approach to gauge invariance induced identity
• A Forward Branching Phase-Space Generator
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• A scattering amplitudes approach to hard thermal loops
• BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
• Gravitons, Bose-symmetry, and Bonus-scaling
• CHY formula and MHV amplitudes
• Color kinematic symmetric (BCJ) numerators in a light-like gauge
• The Grassmannian for Celestial Superamplitudes
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• Momentum Amplituhedron meets Kinematic Associahedron
• Internal boundaries of the loop amplituhedron
• Augmenting the residue theorem with boundary terms in finite-density calculations
• Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSM
• Tree-level amplitudes and dual superconformal symmetry
• Positivity Sectors and the Amplituhedron
• Manifest SO(N) invariance and S-matrices of three-dimensional N=2,4,8 SYM
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
• On-shell recursion relations for gravity
• Tree amplitudes of noncommutative U(N) Yang-Mills Theory
• Numerical evaluation of multi-gluon amplitudes for High Energy Factorization
• Color structures and permutations
• On the Classification of Residues of the Grassmannian
• Multi-Soft gluon limits and extended current algebras at null-infinity
• Matter Couplings and Equivalence Principles for Soft Scalars
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• Massive Nonplanar Two-Loop Maximal Unitarity
• Twistor-inspired construction of massive quark amplitudes
• Multipositivity Bounds for Scattering Amplitudes
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Production of non-Abelian tensor gauge bosons. Tree amplitudes in generalized Yang-Mills theory and BCFW recursion relation
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• Hidden Conformal Invariance of Scalar Effective Field Theories
• New expressions for gravitational scattering amplitudes
• Consistency Conditions on S-Matrix of Spin 1 Massless Particles
• The Boostless Bootstrap and BCFW Momentum Shifts
• On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• On-Shell Unitarity Bootstrap for QCD Amplitudes
• BCJ Relations for One-Loop QCD Integral Coefficients
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• Diagrammatic proof of the BCFW recursion relation for gluon amplitudes in QCD
• Wilson lines in the MHV action
• Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD
• Two-Loop Gravity amplitudes from four dimensional Unitarity
• $W^{+}{W}^{-}$ + 3 Jet Production at the Large Hadron Collider in NLO QCD
• On amplitudes, resonances and the ultraviolet completion of gravity
• Massive On-shell Recursion Relations for n-point Amplitudes
• On Multi-step BCFW Recursion Relations
• Two dialects for KZB equations: generating one-loop open-string integrals
• Conformal invariance of tensor bosons tree amplitudes
• Two-Component Spinorial Formalism using Quaternions for Six-dimensional Spacetimes
• Supersymmetric Massive Gravity
• Yang-Mills Theory in Twistor Space
• A note on on-shell recursion relation of string amplitudes
• Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
• Non-planar BCFW Grassmannian Geometries
• Note on Permutation Sum of Color-ordered Gluon Amplitudes
• Challenges with Internal Photons in Constructive QED
• A Monte Carlo Approach to the 4D Scattering Equations
• CSW rules for massive matter legs and glue loops
• Natural Boundaries for Scattering Amplitudes
• Scattering Equations and a new Factorization for Amplitudes I: Gauge Theories
• The MHV Lagrangian for a spontaneously broken gauge theory
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• ABJM Amplitudes in U-gauge and a Soft Theorem
• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• Fermionic T-duality and U-duality in type II supergravity
• Open associahedra and scattering forms
• $\Delta$-Algebra and Scattering Amplitudes
• Gauge invariance induced relations and the equivalence between distinct approaches to NLSM amplitudes
• Non-Planar On-Shell Diagrams
• Bipartite field theories and D-brane instantons
• $\mathcal{N}=7$ On-Shell Diagrams and Supergravity Amplitudes in Momentum Twistor Space
• Constraining higher-spin S-matrices
• Note on Identities Inspired by New Soft Theorems
• Syzygies Probing Scattering Amplitudes
• Recursion Relations in $p$-adic Mellin Space
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• Flow-oriented perturbation theory
• The geometry of one-loop amplitudes
• Constraining the weights of Stokes Polytopes using BCFW recursions for Phi^4
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• New Factorization Relations for Non-Linear Sigma Model Amplitudes
• Scattering of charged tensor bosons in gauge and superstring theories
• Gauge and Gravity Amplitudes on the Celestial Sphere
• Two-loop Integral Reduction from Elliptic and Hyperelliptic Curves
• Weights, Recursion relations and Projective triangulations for Positive Geometry of scalar theories
• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
• A Shortcut to General Tree-level Scattering Amplitudes in N=4 SYM via Integrability
• Recursion and worldsheet formulae for 6d superamplitudes
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• New Factorization Relations for Yang Mills Amplitudes
• A graphic approach to identities induced from multi-trace Einstein-Yang-Mills amplitudes
• D3-Brane Loop Amplitudes from M5-Brane Tree Amplitudes
• Leading order multi-soft behaviors of tree amplitudes in NLSM
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Critical varieties in the Grassmannian
• Wilson Loop diagrams and Positroids
• Poles At Infinity in On-shell Diagrams
• Celestial Berends-Giele current
• Spinors and the Weyl Tensor Classification in Six Dimensions
• Selection rules for helicity amplitudes in massive gauge theories
• Loops, Polytopes and Splines
• Spectral representation in Klein space: simplifying celestial leaf amplitudes
• Obtaining One-loop Gravity Amplitudes Using Spurious Singularities
• Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields
• From lightcone actions to maximally supersymmetric amplitudes
• The Twelve-Graviton Next-to-MHV Amplitude from Risager's Construction
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• α'-Expansion of Open String Disk Integrals via Mellin Transformations
• Roots of Amplitudes
• Scattering amplitude annihilators
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Infinite Dimensional Symmetries of Self-Dual Yang-Mills
• Connection between non-Abelian tensor gauge fields and open strings
• Comments on scattering in massive gravity, vDVZ and BCFW
• Loop Amplitudes in an Extended Gravity Theory
• Perturbation theory in (2,2) signature
• Recursive equations for arbitrary scattering processes
• A Note on Single Soft Scalar Emission of $\mathcal{N}=8$ SUGRA and $E_{7(7)}$ Symmetry
• Exploring straight infinite Wilson lines in the Self Dual and the MHV Lagrangians
• Anatomy of the Amplituhedron
• One-loop integrand from generalised scattering equations
• Evaluating EYM amplitudes in four dimensions by refined graphic expansion
• Constructing EYM amplitudes by inverse soft limit
• General tree-level amplitudes by factorization limits
• The $\mathcal{N}=4$ Supergravity NMHV six-point one-loop amplitude
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• On All-loop Integrands of Scattering Amplitudes in Planar N=4 SYM
• Supersymmetric Yang-Mills and Supergravity Amplitudes at One Loop
• An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
• Scattering Equations and Factorization of Amplitudes II: Effective Field Theories
• Higher Derivative Theories for Interacting Massless Gravitons in Minkowski Spacetime
• ALPs, the on-shell way
• Field diffeomorphisms and the algebraic structure of perturbative expansions
• On-shell Supersymmetry and higher-spin amplitudes
• Massive Color-Kinematics Duality and Double-Copy for Kaluza-Klein Scattering Amplitudes
• Six-meson amplitude in QCD-like theories
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Unusual identities for QCD at tree-level
• Note on recursion relations for the $\mathcal{Q}$-cut representation
• Boundary Operators of BCFW Recursion Relation
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• Application of the Feynman-tree theorem together with BCFW recursion relations
• CSW-like Expansion for Einstein Gravity
• Helicity Amplitudes for massive gravitinos in N=1 Supergravity
• Double Soft Theorem for Generalised Biadjoint Scalar Amplitudes
• Geometric Recursion from Polytope Triangulations and Twisted Homology
• Yangian and SUSY symmetry of High Spin Parton Splitting Amplitudes in Generalised Yang-Mills Theory
• Diagrammar in an Extended Theory of Gravity
• Amplitudes for Astrophysicists: Known Knowns
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Pure Subspaces, Generalizing the Concept of Pure Spinors
• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• Hard QCD at hadron colliders
• Plahte Diagrams for String Scattering Amplitudes
• Disk level S-matrix elements at eikonal Regge limit
• Illustrations of Integrand-Basis Building at Two Loops
• UV consistency conditions for CHY integrands
• Weighted Laplacians, cocycles and recursion relations
• Spinor formalism for massive fields with half-integral spin
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Automated calculations for multi-leg processes
• Proton structure and tensor gluons
• Tree amplitudes and color decomposition in broken SU(2)
• Pushforwards via Scattering Equations with Applications to Positive Geometries
• Off-shell BCJ Relation in Nonlinear Sigma Model
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• Deriving particle physics from quantum gravity: a plan
• Massive Scattering Amplitudes in Six Dimensions
• The last of the seven-parton tree amplitudes
• SpinorsExtras - Mathematica implementation of massive spinor-helicity formalism
• Collinearity constraints for on-shell massless particle three-point functions, and implications for allowed-forbidden $n+1$-point functions
• A new Wilson line-based action for gluodynamics
• Top Quark Amplitudes with an Anomalous Magnetic Moment
• Multigluon tree amplitudes with a pair of massive fermions
• Recent developments for multi-leg QCD amplitudes with massive particles
• Interaction of Non-Abelian Tensor Gauge Fields
• BCFW construction of the Veneziano Amplitude
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• Generating MHV super-vertices in light-cone gauge
• The Amplituhedron BCFW Triangulation
• A note on NMHV form factors from the Graßmannian and the twistor string
• All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
• Pure connection formalism for gravity: Recursion relations
• Rational Terms in Theories with Matter
• An Introduction to the Massive Helicity Formalism with applications to the Electroweak SM
• Triangulations for ABHY Polytopes and Recursions for Tree and Loop Amplitudes
• Bonus scaling and BCFW in N=7 supergravity
• Multi gluon collinear limits from MHV amplitudes
• Connections between Minkowski and Cosmological Correlation Functions
• Analytic Computations of Massive One-Loop Amplitudes
• What we don't know about time
• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• String Theory, Unification and Quantum Gravity
• Augmented Recursion For One-loop Amplitudes
• Ambitwistor strings and reggeon amplitudes in N=4 SYM
• One-Loop Effective Action Approach to Quantum MHV Theory
• The exact SL(K+3,C) symmetry of string theory
• QED amplitudes: recurrence relations to all orders
• Surface Gauge Invariance, Soft Limits and the Transmutation of Gluons into Scalars
• Gauge theory one-loop amplitudes and the BCFW recursion relations
• EERAD3 version 2: QCD corrections in hadronic colour-singlet decays
• Developments in perturbative QCD
• Recursion Relation for Boundary Contribution
• Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone
• Factorizations for tree amplitudes in the double-cover framework: from gravity to other theories
• BCFW Deformation and Regge Limit
• The KLT relations in unimodular gravity
• Multi-Higgs Amplitudes Bootstrapped: Dissecting SMEFT and HEFT
• S-matrix equivalence restored
• Analytic structure of one-loop coefficients
• Exploring $HVV$ amplitudes with $CP$ violation by decomposition and on-shell scattering amplitude methods
• Tree and $1$-loop fundamental BCJ relations from soft theorems
• MHV Lagrangians for Yang--Mills and QCD
• BCFW tilings and cluster adjacency for the amplituhedron
• Note on solutions of scattering equations
• Propagator-cancelling scalar fields
• All one-loop NMHV gluon amplitudes in N=1 SYM
• Locally Finite Observables in sYM
• Deformations of Yang-Mills theory
• A Note on Loop Amplitudes in QED
• Boundary Behaviors for General Off-shell Amplitudes in Yang-Mills Theory
• Soft gravitational radiation from multi-body collisions
• Yangian symmetry of light-like Wilson loops
• Operator Method and Recursion Relations for Inflationary Correlator
• Planarity in Generalized Scattering Amplitudes: PK Polytope, Generalized Root Systems and Worldsheet Associahedra
• On perturbative field theory and twistor string theory
• QCD at hadron colliders
• Supersums for all supersymmetric amplitudes
• CHY-construction of Planar Loop Integrands of Cubic Scalar Theory
• Gravitation in terms of observables
• The four-dimensional on-shell three-point amplitude in spinor-helicity formalism and BCFW recursion relations
• Tensor gluons and proton structure
• Factorization of Mellin amplitudes
• Positivity, Grassmannian Geometry and Simplex-like Structures of Scattering Amplitudes
• On 10D SYM superamplitudes
• Ward Identity implied recursion relations in Yang-Mills theory
• Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
• Multi-Particle Processes in QCD without Feynman Diagrams
• Scattering amplitudes in gauge theories with and without supersymmetry
• Application of BCFW-recursion relations and the Feynman-tree theorem to the four gluon amplitude with all plus helicities
• Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
• Generalisation of the Yang-Mills Theory
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Tree-level Split Helicity Amplitudes in Ambitwistor Space
• New N=4 SYM Path Integral
• Recursive relations for a quiver gauge theory
• Soft Theorems and the KLT-Relation
• Perturbative quantum gravity in double field theory
• Holonomies of gauge fields in twistor space 6: incorporation of massive fermions
• Amplitude Surrogates for Multi-Jet Processes
• Wilson Lines and Boundary Operators of BCFW Shifts
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• Considerations Concerning the Little Group
• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes
• Speeding up MadGraph5_aMC@NLO
• Quantum point particle approximation of spinning black holes and compact stars
• Helicity Amplitudes for production of massive gravitino/goldstino
• Short-distance Schwinger-mechanism and chiral symmetry
• Two Gluon Emission from MHV: Two Particle Correlations and the Deviation from Poisson
• 6D dual superconformal algebra
• On p-adic Frobenius lifts and p-adic periods, from a Deformation Theory viewpoint
• On-shell recursion relations for generic integrands
• QCD amplitudes with 2 initial spacelike legs via generalised BCFW recursion
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Rate of cluster decomposition via Fermat-Steiner point
• Feynman integrals at large loop order and the $\log$-$\Gamma$ distribution
• Deriving interaction vertices in higher derivative theories
• General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion
• Orientations of BCFW Charts on the Grassmannian
• Boundary Contributions of On-shell Recursion Relations With Multiple-line Deformation
• A connection between $\mathcal{R}$-invariants and Yang-Baxter $R$-operators in $\mathcal{N}=4$ super-Yang-Mills theory
• On bound states in Quantum Field Theory
• Parity Symmetry and Soft Limit for the Cachazo-Geyer Gravity Amplitude
• Analytic Scattering Amplitudes for QCD
• Yangian symmetry applied to Quantum chromodynamics
• Higher Codimension Singularities Constructing Yang-Mills Tree Amplitudes
• Gravitation in terms of observables 2: the algebra of fundamental observables
• Recursive structures in string field theory
• Unitarity Cuts: NLO Six-Gluon Amplitudes in QCD
• Ward Identity Implies Recursion Relation at Tree and Loop Level
• Simplex-like Structures of Maximally Supersymmetric Scattering Amplitudes
• Theoretical Developments in SUSY
• Born amplitudes in QCD from scalar diagrams
• Quantum field theory in flat spacetime with multiple time directions
• Momentum expansions in finite-density perturbative calculations
• Bilocal phase operators in beta-deformed super Yang-Mills
• Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes
• Tropicalized quantum field theory and global tropical sampling
• Graviton scattering amplitudes and Pure Connection Formulation of GR
• The Scattering Algebra of Physical Space: Squared Massive Constructive Amplitudes
• Lecture for the Fortieth Anniversary of Supergravity
• Logarithms and Volumes of Polytopes
• NS-NS Spacetimes from Amplitudes
• Recursion in multiplet bases for tree-level MHV gluon amplitudes
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
• (0,2) Gauged Linear Sigma Model on Supermanifold
• S-matrix element of two R-R and one NS states
• On-shell Methods for Form Factors in N=4 SYM and Their Applications
• Leading singularities in higher-derivative Yang-Mills theory and quadratic gravity
• Geometric duality between effective field theories I: scattering amplitudes
• Factorization Formulas for Tree Amplitudes
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle
• Recent progress for five-particle two-loop scattering amplitudes with an off-shell leg
• Massive Gauge Theories from Consistency Conditions of Amplitudes
• A new approach for amplitudes with multiple fermion lines
• Towards Amplituhedron via One-Dimensional Theory
• Shifts in BCFW method for QED
• Celestial Feynman Rules for Scalars
• Extended DBI and its generalizations from graded soft theorems
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• Cyclicity of All Anti-NMHV and N${}^2$MHV Tree Amplitudes in N=4 SYM
• BCFW like recursion for Deformed Associahedron
• A Novel On-Shell Recursive Relation
• Three point interaction of Dirac fermions with higher spin particles and discrete symmetries
• Quantum Off-Shell Recursion Relation
• Exploration of the Tree-Level S-Matrix of Massless Particles
• A Pure Spinor Twistor Description of Ambitwistor Strings
• Equivalence of Coefficients Extraction of One-loop Master Integrals
• A Tale Of Two Amplitudes In High Energy Physics
• High multiplicity processes at NLO with BlackHat and Sherpa
• Amplitudes, recursion relations and unitarity in the Abelian Higgs Model
• Complexified Ward Identity in pure Yang-Mills theory at tree-level
• A First Step Towards Effectively Nonperturbative Scattering Amplitudes in the Perturbative Regime
• Brane Tilings as On-shell Diagrams
• Equivalence Theorems and Double-Copy Structure in Scattering Amplitudes of Massive Kaluza-Klein States with Matter Interactions
• Smooth Splitting and Zeros from On-Shell Recursion
• Fourier transform from momentum space to twistor space
• String Theory from Maximal Supersymmetry
• Plabic Tangles and Cluster Promotion Maps