Multi-Gluon Collinear Limits from MHV diagrams

Abstract

We consider the multi-collinear limit of multi-gluon QCD amplitudes at tree level. We use the MHV rules for constructing colour ordered tree amplitudes and the general collinear factorization formula to derive timelike splitting functions that are valid for specific numbers of negative helicity gluons and an arbitrary number of positive helicity gluons (or vice versa). As an example we present new results describing the collinear limits of up to six gluons.

28 pages, six figures, JHEP3 class

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Cited by in corpus (54)

• Antenna Subtraction at NNLO
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Direct extraction of one-loop integral coefficients
• A direct proof of the CSW rules
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Space-like (vs. time-like) collinear limits in QCD: is factorization violated?
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• From Twistor Actions to MHV Diagrams
• Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations
• Color-dressed recursive relations for multi-parton amplitudes
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• Exposing the QCD Splitting Function with CMS Open Data
• Antenna subtraction for gluon scattering at NNLO
• The Lagrangian origin of MHV rules
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• From Trees to Loops and Back
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Celestial operator products from the worldsheet
• A comparison of efficient methods for the computation of Born gluon amplitudes
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
• Structure of the MHV-rules Lagrangian
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• MHV Techniques for QED Processes
• Double collinear splitting amplitudes at next-to-leading order
• Tree-level splitting amplitudes for a quark into four collinear partons
• Collinear Limits in QCD from MHV Rules
• Descendants in celestial CFT and emergent multi-collinear factorization
• Tree-level splitting amplitudes for a gluon into four collinear partons
• All-order celestial OPE in the MHV sector
• 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
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• Polarized triple-collinear splitting functions at NLO for processes with photons
• Soft Theorems from Effective Field Theory
• Multicollinear Singularities in Celestial CFT
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
• Triple-collinear splittings with massive particles
• Collinear functions for QCD resummations
• Twistor-inspired construction of massive quark amplitudes
• Momentum mappings for subtractions at higher orders in QCD
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• Multiparticle Contributions to the Celestial OPE
• Multi gluon collinear limits from MHV amplitudes
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• One-loop triple collinear splitting amplitudes in QCD
• Catani's generalization of collinear factorization breaking