The Singular Behaviour of QCD Amplitudes at Two-loop Order

Abstract

We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\ep^4, 1/\ep^3$ and $1/\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q\bar{q}$ pair.

14 pages, latex, no figures

References in corpus (1)

• Multi-Parton Amplitudes in Gauge Theories

Cited by in corpus (499)

• Gluon scattering amplitudes at strong coupling
• Differential Equations for Two-Loop Four-Point Functions
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Antenna Subtraction at NNLO
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
• Infrared singularities of scattering amplitudes in perturbative QCD
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Higgs boson production in bottom quark fusion at next-to-next-to-leading order
• Multi-loop Amplitudes and Resummation
• Hexagon Wilson loop = six-gluon MHV amplitude
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• A Duality For The S Matrix
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• Calculation of the quark and gluon form factors to three loops in QCD
• Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• Comments on operators with large spin
• The soft-gluon current at one-loop order
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
• The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
• Three-Loop Results for Quark and Gluon Form Factors
• Two-Loop g -> gg Splitting Amplitudes in QCD
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons
• Infrared Structure at NNLO Using Antenna Subtraction
• Infrared singularities of QCD amplitudes with massive partons
• Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• Supersymmetric Regularization, Two-Loop QCD Amplitudes and Coupling Shifts
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• The Quark Form Factor at Higher Orders
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Two-loop QCD corrections to gluon-gluon scattering
• Top mass effects in Higgs production at next-to-next-to-leading order QCD: virtual corrections
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Collinear Factorization and Splitting Functions for Next-to-next-to-leading Order QCD Calculations
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Quark-Gluon Antenna Functions from Neutralino Decay
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Heptagons from the Steinmann Cluster Bootstrap
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Second-order QCD corrections to the thrust distribution
• Soft and virtual corrections to pp -> H + X at NNLO
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• Nested soft-collinear subtractions in NNLO QCD computations
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Two-loop divergences of scattering amplitudes with massive partons
• The singular behavior of massive QCD amplitudes
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Two-loop virtual corrections to Higgs pair production
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Predictions for diphoton production at the LHC through NNLO in QCD
• Virtual corrections to Higgs boson pair production in the large top quark mass limit
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Pentagon functions for massless planar scattering amplitudes
• Two-loop QCD corrections to the scattering of massless distinct quarks
• Two-loop QED corrections to Bhabha scattering
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• Two-loop QCD corrections to massless quark-gluon scattering
• 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
• Analytic two-loop form factors in N=4 SYM
• Infrared structure of e+e- --> 3 jets at NNLO
• Direct photon production with effective field theory
• The two-loop helicity amplitudes for $q{\bar{q}}^{\prime }\to V_1{V}_2\to 4\mathrm{leptons}$
• Two-Loop Correction to Bhabha Scattering
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Heavy-quark production in gluon fusion at two loops in QCD
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• The Last of the Finite Loop Amplitudes in QCD
• On soft singularities at three loops and beyond
• Higgs boson pair production: top quark mass effects at NLO and NNLO
• Two-loop splitting functions in QCD
• A first look at two-loop five-gluon scattering in QCD
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions
• QCD corrections to tri-boson production
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Two-loop QCD corrections to massless identical quark scattering
• Webs in multiparton scattering using the replica trick
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission
• Bootstrapping the QCD soft anomalous dimension
• Multiple Singular Emission in Gauge Theories
• Heavy-quark production in massless quark scattering at two loops in QCD
• Two-loop corrections to Higgs boson production
• Two-loop QED and QCD corrections to massless fermion-boson scattering
• Single soft gluon emission at two loops
• Two-Loop Four-Gluon Amplitudes with the Numerical Unitarity Method
• Analytic form of the full two-loop five-gluon all-plus helicity amplitude
• Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Two-Loop Photonic Corrections to Massive Bhabha Scattering
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Anomalous dimension of subleading-power N-jet operators
• Two-Loop Polygon Wilson Loops in N=4 SYM
• Harmony of Super Form Factors
• Antenna Factorization in Strongly-Ordered Limits
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• On the Numerical Evaluation of One-Loop Amplitudes: the Gluonic Case
• Higgs boson decay into b-quarks at NNLO accuracy
• Analytic result for a two-loop five-particle amplitude
• Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case
• Dissolving N=4 loop amplitudes into QCD tree amplitudes
• Four-gluon scattering at three loops, infrared structure and Regge limit
• On the breaking of collinear factorization in QCD
• Eikonal methods applied to gravitational scattering amplitudes
• Antenna subtraction for gluon scattering at NNLO
• Two-Loop Corrections to Bhabha Scattering
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• Double Higgs boson production at NLO in the high-energy limit: complete analytic results
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Local Analytic Sector Subtraction at NNLO
• One-loop phi-MHV amplitudes using the unitarity bootstrap
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• QCD resummation for hadronic final states
• Analytic one-loop amplitudes for a Higgs boson plus four partons
• Electroweak radiative corrections in high energy processes
• Anomalous dimension of subleading-power $N$-jet operators II
• The triple collinear limit of one-loop QCD amplitudes
• Iterative Structure Within The Five-Particle Two-Loop Amplitude
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• Leading-Color Two-Loop QCD Corrections for Three-Jet Production at Hadron Colliders
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
• Two-parton scattering in the high-energy limit
• Two-loop electroweak next-to-leading logarithmic corrections to massless fermionic processes
• Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• An infrared approach to Reggeization
• Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Progress in NNLO calculations for scattering processes
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Double Higgs boson production at NLO: combining the exact numerical result and high-energy expansion
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC
• Two-loop five-point all plus helicity Yang-Mills amplitude
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• An $S$-Matrix for Massless Particles
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• The QCD form factor of heavy quarks at NNLO
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Analytic resummation for the quark form factor in QCD
• Non-renormalization and operator mixing via on-shell methods
• The two-loop QCD amplitude gg -> h,H in the Minimal Supersymmetric Standard Model
• BLM scale for the pion transition form factor
• High-energy QCD amplitudes at two loops and beyond
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
• Isolated photon production in association with a jet pair through next-to-next-to-leading order in QCD
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• A next-to-next-to-leading order calculation of soft-virtual cross sections
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions
• The $Hb\bar{b}$ form factor to three loops in QCD
• Three-Loop Leading Singularities and BDS Ansatz for Five Particles
• NLO Higgs+jet at large transverse momenta including top quark mass effects
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• Analytic results for color-singlet production at NNLO QCD with the nested soft-collinear subtraction scheme
• 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Two-loop six gluon all plus helicity amplitude
• Next-to-leading mass singularities in two-loop electroweak singlet form factors
• One-loop helicity amplitudes for H -> gluons: the all-minus configuration
• Two-loop leading colour QCD corrections to $q\bar{q}\to \gamma \gamma g$ and $qg\to \gamma \gamma q$
• A prescription for projectors to compute helicity amplitudes in D dimensions
• NNLO predictions for Z-boson pair production at the LHC
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Sudakov expansions at one loop and beyond for charged scalar and fermion pair production in SUSY models at future Linear Colliders
• The Soft Quark Sudakov
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
• The Heavy Quark Form Factors at Two Loops
• Two-loop helicity amplitudes for the production of two off-shell electroweak bosons in quark-antiquark collisions
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• Resummation of Yukawa enhanced and subleading Sudakov logarithms in longitudinal gauge boson and Higgs production
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD
• Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations
• Violation of the Kluberg-Stern--Zuber theorem in SCET
• Pseudo-scalar Form Factors at Three Loops in QCD
• Collinear factorization violation and effective field theory
• Next-to-leading order QCD corrections to diphoton-plus-jet production through gluon fusion at the LHC
• NNLO hard functions in massless QCD
• Next-to-Next-to-Leading Electroweak Logarithms for W-Pair Production at LHC
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Mixed QCD-electroweak corrections to W-boson production in hadron collisions
• Real-Virtual corrections for gluon scattering at NNLO
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture
• Second order contributions to elastic large-angle Bhabha scattering
• Double collinear splitting amplitudes at next-to-leading order
• Factorisation and Subtraction beyond NLO
• Two-Loop Virtual Corrections to Drell-Yan Production at order alpha_s alpha^3
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Tree-level splitting amplitudes for a quark into four collinear partons
• On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity
• Duality between Wilson loops and gluon amplitudes
• Soft gluon emission at two loops in full color
• Two-loop QCD helicity amplitudes for $gg\to Zg$ and $gg\to Z\gamma$
• Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
• From Webs to Polylogarithms
• Three-loop helicity amplitudes for diphoton production in gluon fusion
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Next-to-leading order electroweak corrections to $gg\to HH$ and $gg\to gH$ in the large-$m_t$ limit
• Generating All Tree Amplitudes in N=4 SYM by Inverse Soft Limit
• Two-Loop QCD Corrections for Three-Photon Production at Hadron Colliders
• Threshold Resummed and Approximate NNLO results for W+W- Pair Production at the LHC
• Non-abelian infrared divergences on the celestial sphere
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• Analytic all-plus-helicity gluon amplitudes in QCD
• Ultraviolet divergences and factorization for coordinate-space amplitudes
• Two-Loop Bhabha Scattering in QED
• N${}^3$LO+N${}^3$LL QCD improved Higgs pair cross sections
• The quark Regge trajectory at two loops
• Employing Helicity Amplitudes for Resummation
• Mixed EW-QCD two-loop amplitudes for $q\bar{q}\to {\ell }^{+}{\ell }^{-}$ and ${\gamma }_5$ scheme independence of multi-loop corrections
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM
• All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops
• Colour Decompositions of Multi-quark One-loop QCD Amplitudes
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Anomalous Dimensions of Effective Theories from Partial Waves
• Ansätze for Scattering Amplitudes from $p$-adic Numbers and Algebraic Geometry
• The two-loop n-point all-plus helicity amplitude
• Multiple Gluon Exchange Webs
• High-Energy Limit of Quantum Electrodynamics beyond Sudakov Approximation
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• One-loop QCD corrections to quark scattering at NNLO
• Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts
• Two-loop amplitudes for processes $gg\to Hg,qg\to Hq$ and $q\bar{q}\to Hg$ at large Higgs transverse momentum
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• Two-Loop QCD Corrections to Higgs $\to b+\bar{b}+g$ Amplitude
• Virtual corrections to $gg\to ZH$ in the high-energy and large-$m_t$ limits
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Two-Parton Contribution to the Heavy-Quark Forward-Backward Asymmetry in NNLO QCD
• Double Virtual corrections for gluon scattering at NNLO
• Gauge theory webs and surfaces
• On next to soft threshold corrections to DIS and SIA processes
• Building blocks of the flavourful SMEFT RG
• $H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• Integration of collinear-type doubly unresolved counterterms in NNLO jet cross sections
• Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry
• Quark scattering amplitudes at strong coupling
• Full-color three-loop three-point form factors in N=4 SYM
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion
• Evolution Kernels from Splitting Amplitudes
• The structure of IR divergences in celestial gluon amplitudes
• Next-to SV resummed Drell-Yan cross section beyond leading-logarithm
• NNLO subtraction for any massless final state: a complete analytic expression
• The Four Dimensional Helicity Scheme Beyond One Loop
• Electroweak renormalization group corrections in high energy processes
• Efficient computation of two-loop amplitudes for Higgs boson pair production
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Two-Loop Five-Parton Leading-Colour Finite Remainders in the Spinor-Helicity Formalism
• Relating amplitude and PDF factorisation through Wilson-line geometries
• Building Bases of Loop Integrands
• The Infrared Structure of QCD Amplitudes and $H\to gg$ in FDH and DRED
• On-shell two-loop three-gluon vertex
• Multi-gluon one-loop amplitudes numerically
• The asymptotic behavior of the heavy quark form factors at higher order
• Analytic results for deep-inelastic scattering at NNLO QCD with the nested soft-collinear subtraction scheme
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes
• Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
• Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter
• One-Loop Calculations with BlackHat
• Next-to-Next-to-Leading Electroweak Logarithms in W-pair Production at ILC
• Top quark contribution to two-loop helicity amplitudes for $Z$ boson pair production in gluon fusion
• Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator
• Polarized triple-collinear splitting functions at NLO for processes with photons
• An Introduction to Webs
• Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture
• Bootstrapping a Two-Loop Four-Point Form Factor
• Top-quark pair production at high invariant mass: an NNLO soft plus virtual approximation
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference
• Top quark pair production at NNLO in the quark-antiquark channel
• Two-loop corrections to the triple Higgs boson production cross section
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
• Double insertions of SMEFT operators in gluon fusion Higgs boson production
• Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator
• The two-loop MHV amplitudes in N=4 supersymmetric Yang-Mills theory
• Contribution of third generation quarks to two-loop helicity amplitudes for W boson pair production in gluon fusion
• Two-Loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• The colourful antenna subtraction method
• Rapidity distribution at soft-virtual and beyond for n-colorless particles to N${}^4$LO in QCD
• NNLO QCD corrections to weak boson fusion Higgs boson production in the $H\to b\bar{b}$ and $H\to W{W}^{\ast }\to 4l$ decay channels
• Hidden Simplicity of Gauge Theory Amplitudes
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory
• Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t\bar{t}g$ at leading colour
• Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
• Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
• Higgs pair production from bottom quark annihilation to NNLO in QCD
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Quark and gluon spin-2 form factors to two-loops in QCD
• An $n$-point QCD two-loop amplitude
• Asymptotic Charges and Coherent States in QCD
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Polarized $q\bar{q}\to Z+$Higgs amplitudes at two loops in QCD: the interplay between vector and axial vector form factors and a pitfall in applying a non-anticommuting ${\gamma }_5$
• On the two-loop hexagon Wilson loop remainder function in N=4 SYM
• Toward NNLL Threshold Resummation for Hadron Pair Production in Hadronic Collisions
• Resummed Higgs boson cross section at next-to SV to $\mathrm{NNLO}+\overline{\mathrm{NNLL}}$
• Regularization-scheme dependence of QCD amplitudes in the massive case
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Two-loop form factors for pseudo-scalar quarkonium production and decay
• Exposing the threshold structure of loop integrals
• Locally finite two-loop QCD amplitudes from IR universality for electroweak production
• Third-order QCD results on form factors and coefficient functions
• Three-loop form factors for Higgs boson pair production in the large top mass limit
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• The Full-Color Two-Loop Four-Gluon Amplitude in $\mathcal{N}=2$ Super-QCD
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• The three-loop singlet contribution to the massless axial-vector quark form factor
• N=4 Super-Yang-Mills Theory, QCD and Collider Physics
• QCD evolution of the gluon Sivers function in heavy flavor dijet production at the Electron-Ion Collider
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Going beyond Soft plus Virtual
• Coordinate-space singularities of massless gauge theories
• ABJM amplitudes and WL at finite N
• Constructing multi-loop scattering amplitudes with manifest singularity structure
• Recent Progress in Perturbative Quantum Field Theory
• Non-local slicing approaches for NNLO QCD in MCFM
• Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• Hidden Beauty in Multiloop Amplitudes
• Form factors with two operator insertions and the principle of maximal transcendentality
• Momentum mappings for subtractions at higher orders in QCD
• Resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC
• Two-Loop QCD Correction to massive spin-2 resonance $\to$ 3 gluons
• The $pp\to W(\to l\nu )+\gamma$ process at next-to-next-to-leading order
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• W Pair Production at the LHC - II. One-loop Squared Corrections in the High Energy Limit
• Infrared Singularities and Soft Gluon Resummation with Massive Partons
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• Alphabet of one-loop Feynman integrals
• Iterating QCD scattering amplitudes in the high-energy limit
• Two-Loop Gravity amplitudes from four dimensional Unitarity
• NNLO QCD corrections to $pp\to {\gamma }^{\ast }{\gamma }^{\ast }$ in the large $N_F$ limit
• Non-factorizable virtual corrections to Higgs boson production in weak boson fusion beyond the eikonal approximation
• Locally finite two-loop amplitudes for electroweak production through gluon fusion
• One-loop N = 4 super Yang-Mills scattering amplitudes in d dimensions, relation to open strings and polygonal Wilson loops
• A Surprise in the Amplitude/Wilson Loop Duality
• The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups
• The parton-level structure of Higgs decays to hadrons at N${}^3$LO
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• The SAGEX Review on Scattering Amplitudes, Chapter 12: Amplitudes and collider physics
• Analytic two-loop amplitudes for $tW$ production: leading color and light fermion-loop contributions
• Three-loop helicity amplitudes for photon+jet production
• Local analytic sector subtraction for initial- and final-state radiation at NLO in massless QCD
• Two-Loop Diagrammatics in a Self-Dual Background
• NNLOCAL: completely local subtractions for color-singlet production in hadron collisions
• Amplitudes from anomalous superconformal symmetry
• Antenna subtraction for jet production observables in full colour at NNLO
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• Gluonic evanescent operators: classification and one-loop renormalization
• One-Loop Helicity Amplitudes for Parton Level Virtual Compton Scattering
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Second order splitting functions and infrared safe cross sections in $\mathcal{N}=4$ SYM theory
• Two-loop Doubly Massive Four-Point Amplitude Involving a half-BPS and Konishi Operator
• Spin-2 Form Factors at Three Loop in QCD
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD
• Dual conformal constraints and infrared equations from global residue theorems in N=4 SYM theory
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
• Gluonic evanescent operators: two-loop anomalous dimensions
• The Curious Case of Leading Transcendentality: Three Point Form Factors
• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
• Automated calculations for multi-leg processes
• Two-loop QED Corrections to Bhabha Scattering
• The two-loop Higgs impact factor
• QCD at high energy
• Jet Physics at Two-Loop Accuracy
• Two-loop QCD Correction to Massive Spin-2 Resonance $\to q\bar{q}g$
• All Two-Loop, Color-Dressed, Six-Point Amplitude Integrands in sYM
• Two-Loop Four-Fermion Scattering Amplitude in QED
• $h\to gg$ and $h\to \gamma \gamma$ with Anomalous Couplings at Next-to-Leading Order in QCD
• Renormalising the Field-Space Geometry
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes
• NNLO Virtual corrections to W+ W- production at the LHC
• Dimensional schemes for cross sections at NNLO
• Twistors, strings and supersymmetric gauge theories
• Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• Group constraint relations for five-point amplitudes in gauge theories with SO(N) and Sp(2N) groups
• On the interference of $ggH$ and $c\bar{c}H$ Higgs production mechanisms and the determination of charm Yukawa coupling at the LHC
• (Quasi)elastic electron--muon large-angle scattering to a two-loop approximation: vertex contributions
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO
• On the non-planar beta-deformed N=4 super-Yang-Mills theory
• Five-Point Two-Loop Amplitudes from Numerical Unitarity
• Minimally helicity violating, maximally simple scalar amplitudes in N=4 SYM
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Collinear splitting, parton evolution and the strange-quark asymmetry of the nucleon in NNLO QCD
• Top-quark mass effects in H+jet and H+2 jets production
• Three-Loop QCD corrections to the production of a Higgs boson and a Jet
• Sudakov Logarithms in Four-Fermion Electroweak Processes at High Energy
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Symmetric reduction of high-multiplicity one-loop integrals and maximal cuts
• Sudakov Resummations at Higher Orders
• Precise evaluation of the Cut Constructible part of one loop amplitudes within D-dimensional unitarity
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• On non-factorisable contributions to $t$-channel single-top production
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents
• One-Loop QCD Corrections to $\bar{u}d\to t\bar{t}W$ at $\mathcal{O}({\epsilon }^2)$
• Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Non-abelian soft radiation data for a celestial theory
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• Two-loop Splitting Amplitudes
• Integrands of Less-Supersymmetric Yang-Mills at One Loop
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
• Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$
• Two-Loop QCD Helicity Amplitudes for Higgs Production Associated with a Vector Boson through Bottom Quark Annihilation
• QCD two-loop amplitudes for e+e- --> 3 jets: the fermionic contribution
• Scattering amplitudes for e^+e^- --> 3 jets at next-to-next-to-leading order QCD
• Towards Colour Flow Evolution at Two Loops
• N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory
• Two-parton contribution to the heavy-quark A_FB at NNLO QCD in e+e- collisions
• Applications of QCD
• Effective Field Theories for the LHC
• Pseudoscalar Higgs boson decay to three parton amplitudes at NNLO to higher orders in the dimensional regulator
• Progress on soft gluon exponentiation and long-distance singularities
• Steps towards NNLO QCD calculations: collinear factorization at O(α_S^2)
• Two-loop corrections to $gg\to \gamma \gamma$
• Recent progress for five-particle two-loop scattering amplitudes with an off-shell leg
• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
• Refining threshold resummations
• QCD Beyond Leading Power
• Infrared structure of $SU(N)\times U(1)$ gauge theory to three loops
• Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• The integrand form of infrared singularities of two-loop QCD scattering amplitudes
• Leading and Non-leading Singularities in Gauge Theory Hard Scattering
• Theoretical Developments on Hard QCD Processes at Colliders
• QCD at High Energy
• Boomerang webs up to three-loop order
• Supersymmetric Sudakov corrections
• Massive particle production to NNLO in QCD
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Colourful antenna subtraction for gluon scattering