The singular behavior of one-loop massive QCD amplitudes with one external soft gluon

Abstract

We calculate the one-loop correction to the soft-gluon current with massive fermions. This current is process independent and controls the singular behavior of one-loop massive QCD amplitudes in the limit when one external gluon becomes soft. The result derived in this work is the last missing process-independent ingredient needed for numerical evaluation of observables with massive fermions at hadron colliders at the next-to-next-to-leading order.

15 pages, no figures. Attached a file containing the results

References in corpus (14)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• A novel subtraction scheme for double-real radiation at NNLO
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Quark and gluon form factors to three loops
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Two-loop QED corrections to Bhabha scattering
• Webs in multiparton scattering using the replica trick
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Diagrammatic Exponentiation for Products of Wilson Lines
• The QCD form factor of heavy quarks at NNLO
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space

Cited by in corpus (54)

• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• Percent level precision physics at the Tevatron: first genuine NNLO QCD corrections to q qbar -> t tbar + X
• NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction
• Hadronic top-quark pair production with NNLL threshold resummation
• High-precision differential predictions for top-quark pairs at the LHC
• On the NNLO QCD corrections to single-top production at the LHC
• Four-dimensional formulation of the sector-improved residue subtraction scheme
• Resolving the Tevatron Top Quark Forward-Backward Asymmetry Puzzle: Fully Differential Next-to-Next-to-Leading-Order Calculation
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• Single soft gluon emission at two loops
• Transverse-momentum resummation for heavy-quark hadroproduction
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• The Non-Abelian Exponentiation theorem for multiple Wilson lines
• On the renormalization of multiparton webs
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Simplified differential equations approach for Master Integrals
• Top-quark pair production at hadron colliders: differential cross section and phenomenological applications with DiffTop
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
• Real-Virtual corrections for gluon scattering at NNLO
• Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• From Webs to Polylogarithms
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the all-fermion processes
• Massive planar and non-planar double box integrals for light Nf contributions to gg->tt
• Renormalization-group improved fully differential cross sections for top pair production
• The two-loop soft function for heavy quark pair production at future linear colliders
• A subtraction scheme for massive QED
• One-loop monodromy relations on single cuts
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• The soft function for color octet production at threshold
• Multiple soft radiation at one-loop order and the emission of a soft quark-antiquark pair
• Soft-parton contributions to heavy-quark production at low transverse momentum
• Double real radiation corrections to $t\bar{t}$ production at the LHC: the $gg\to t\bar{t}q\bar{q}$ channel
• Next-to-Next-to-Leading Order $N$-Jettiness Soft Function for One Massive Colored Particle Production at Hadron Colliders
• Fully exclusive heavy quark-antiquark pair production from a colourless initial state at NNLO in QCD
• Soft gluon-quark-antiquark emission in QCD hard scattering
• Light fermionic NNLO QCD corrections to top-antitop production in the quark-antiquark channel
• On the non-cancellation of infrared singularities in collisions of massive quarks
• Asymptotic Charges and Coherent States in QCD
• Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
• Finite-width effects in unstable-particle production at hadron colliders
• Next-to-next-to-leading order $N$-jettiness soft function for $tW$ production
• The next-to-next-to-leading order soft function for top quark pair production
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massless QCD
• Impact of the top quark cross section data on parton distribution functions
• Top quark pairs at two loops and Reduze 2
• Sector-improved residue subtraction: Improvements and Applications
• Progress in top-pair production at hadron colliders
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Catani's generalization of collinear factorization breaking
• Next-to-next-to-leading order threshold soft function for $tW$ production
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• Progress on soft gluon exponentiation and long-distance singularities
• Subleading Effects in Soft-Gluon Emission at One-Loop in Massive QCD