One-Loop Splitting Amplitudes in Gauge Theory

Abstract

We recompute the functions describing the collinear factorization of one-loop amplitudes using the unitarity-based method. We present the results in a form suitable for use as an ingredient in two-loop calculations. We also present a function summarizing the behavior at one loop in both the soft and collinear limits.

two references added, minor changes in the text

References in corpus (1)

• Multi-Parton Amplitudes in Gauge Theories

Cited by in corpus (170)

• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Antenna Subtraction at NNLO
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• NNLO global parton analysis
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• Higgs boson production in association with a jet at next-to-next-to-leading order
• High-precision differential predictions for top-quark pairs at the LHC
• On-Shell Methods in Perturbative QCD
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• The soft-gluon current at one-loop order
• Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• Two-Loop Helicity Amplitudes for Gluon-Gluon Scattering in QCD and Supersymmetric Yang-Mills Theory
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Two-loop QCD corrections to gluon-gluon scattering
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• On the NNLO QCD corrections to single-top production at the LHC
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Quark-Gluon Antenna Functions from Neutralino Decay
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Universality of transverse-momentum resummation and hard factors at the NNLO
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• The structure of large logarithmic corrections at small transverse momentum in hadronic collisions
• Numerical evaluation of phase space integrals by sector decomposition
• Second-order QCD corrections to the thrust distribution
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Next-to-next-to-leading logarithmic corrections at small transverse momentum in hadronic collisions
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• Nested soft-collinear subtractions in NNLO QCD computations
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Four-Particle Phase Space Integrals in Massless QCD
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Two-loop QCD corrections to the scattering of massless distinct quarks
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• A subtraction scheme for NNLO computations
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Two-loop QCD corrections to massless quark-gluon scattering
• Soft-Gluon Resummation for the Fragmentation of Light and Heavy Quarks at Large x
• Subtraction terms at NNLO
• Analytic two-loop form factors in N=4 SYM
• Infrared structure of e+e- --> 3 jets at NNLO
• Two-Loop Correction to Bhabha Scattering
• The Last of the Finite Loop Amplitudes in QCD
• On soft singularities at three loops and beyond
• Two-loop splitting functions in QCD
• More on Soft Theorems: Trees, Loops and Strings
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions
• Two-loop QCD corrections to massless identical quark scattering
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• Power Corrections in the N-jettiness Subtraction Scheme
• A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission
• Two-loop QED and QCD corrections to massless fermion-boson scattering
• Transverse-momentum resummation for heavy-quark hadroproduction
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Factorization and Resummation for Dijet Invariant Mass Spectra
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• Antenna Factorization in Strongly-Ordered Limits
• Two-Loop Polygon Wilson Loops in N=4 SYM
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Two-Loop Helicity Amplitudes for Quark-Quark Scattering in QCD and Gluino-Gluino Scattering in Supersymmetric Yang-Mills Theory
• The back-to-back region in e^+e^- energy--energy correlation
• Higgs boson decay into b-quarks at NNLO accuracy
• Subtraction at NNLO
• Antenna subtraction for gluon scattering at NNLO
• Exposing the QCD Splitting Function with CMS Open Data
• Fragmentation in Jets at NNLO
• Subtraction terms for one-loop amplitudes with one unresolved parton
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• Multi-Gluon Collinear Limits from MHV diagrams
• Gluon-gluon contributions to the production of continuum diphoton pairs at hadron colliders
• The triple collinear limit of one-loop QCD amplitudes
• Iterative Structure Within The Five-Particle Two-Loop Amplitude
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
• All-Multiplicity Amplitudes with Massive Scalars
• From Trees to Loops and Back
• The infrared structure of e+ e- --> 3 jets at NNLO reloaded
• 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
• All-Orders Singular Emission in Gauge Theories
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
• Factorization and Resummation for Generic Hierarchies between Jets
• Structure of the MHV-rules Lagrangian
• Real-Virtual corrections for gluon scattering at NNLO
• Double collinear splitting amplitudes at next-to-leading order
• Tree-level splitting amplitudes for a quark into four collinear partons
• Subtraction Terms for Hadronic Production Processes at Next-to-Next-to-Leading Order
• Collinear Limits in QCD from MHV Rules
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• BFKL at Next-to-Next-to-Leading Order
• Tree-level splitting amplitudes for a gluon into four collinear partons
• Factorization and Resummation for Groomed Multi-Prong Jet Shapes
• Loop-level gluon OPEs in celestial holography
• Note on asymptotic symmetries and soft gluon theorems
• Next-to-leading-order QCD Corrections to Higgs Production in association with a Jet
• Jet Veto Clustering Logarithms Beyond Leading Order
• Evolution Kernels from Splitting Amplitudes
• The Four Dimensional Helicity Scheme Beyond One Loop
• Infrared structure of $e^{+}{e}^{-}\to 3$ jets at NNLO - the $C_F^2$ contribution
• Factorized soft graviton theorems at loop level
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Triple collinear splitting functions at NLO for scattering processes with photons
• Tree-level soft emission of a quark pair in association with a gluon
• Polarized triple-collinear splitting functions at NLO for processes with photons
• Analytic integration of soft and collinear radiation in factorised QCD cross sections at NNLO
• Simplifying Algebra in Feynman Graphs, Part III: Massive Vectors
• Two-loop splitting in double parton distributions
• A general algorithm to build mixed real and virtual antenna functions for higher-order calculations
• Soft Theorems from Effective Field Theory
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Gluon induced contributions to WZ and W gamma production at NNLO
• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
• Multi-Collinear Splitting Kernels for Track Function Evolution
• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
• Triple-collinear splittings with massive particles
• Does one need the O(epsilon)- and O(epsilon^2)-terms of one-loop amplitudes in an NNLO calculation ?
• Collinear functions for QCD resummations
• Recent Progress in Perturbative Quantum Field Theory
• Momentum mappings for subtractions at higher orders in QCD
• Anti-$k_T$ jet function at next-to-next-to-leading order
• Hidden Beauty in Multiloop Amplitudes
• The NNLO quark beam function for jet-veto resummation
• A Surprise in the Amplitude/Wilson Loop Duality
• Decomposition of Triple Collinear Splitting Functions
• Analytic Boosted Boson Discrimination
• New Insights on an Old Problem: Resummation of the D-parameter
• The five-gluon amplitude in the high-energy limit
• Antenna subtraction for jet production observables in full colour at NNLO
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• Automated calculations for multi-leg processes
• QCD at high energy
• Sector-improved residue subtraction: Improvements and Applications
• One-loop corrections to the celestial chiral algebra from Koszul Duality
• Jet Physics at Two-Loop Accuracy
• QCD: Theoretical Developments
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO
• Collinear splitting, parton evolution and the strange-quark asymmetry of the nucleon in NNLO QCD
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Catani's generalization of collinear factorization breaking
• One-loop triple collinear splitting amplitudes in QCD
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• QCD at hadron colliders
• Quantum MHV Diagrams
• Universal structure of radiative QED amplitudes at one loop
• The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
• Two-loop Splitting Amplitudes
• Effective Field Theories for the LHC
• A stroll through the loop-tree duality
• Infrared finite cross sections at NNLO
• One-loop central-emission vertex for two gluons in $\mathcal{N}=4$ super Yang-Mills theory
• Subtraction method of computing QCD jet cross sections at NNLO accuracy
• Antenna subtraction method for jet calculations at NNLO
• Theoretical Developments on Hard QCD Processes at Colliders
• QCD at High Energy
• Progress on NNLO subtraction