Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD

Abstract We evaluate the one-loop soft current for the emission of two soft gluons or a soft quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact in dimensional regularisation up to a single Feynman integral. Two terms of the Taylor series of the latter integral as a funct...

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Main Authors: Michał Czakon, Felix Eschment, Tom Schellenberger
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2023)065
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author Michał Czakon
Felix Eschment
Tom Schellenberger
author_facet Michał Czakon
Felix Eschment
Tom Schellenberger
author_sort Michał Czakon
collection DOAJ
description Abstract We evaluate the one-loop soft current for the emission of two soft gluons or a soft quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact in dimensional regularisation up to a single Feynman integral. Two terms of the Taylor series of the latter integral as a function of ϵ ≡ (4 − d)/2 with d the dimension of spacetime are available from a recent calculation of one-loop triple-collinear splitting functions. Our formulae are necessary for the construction of a subtraction scheme for the evaluation of next-to-next-to-next-to-leading order cross sections in massless QCD.
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spelling doaj.art-c9ac3834a6aa44ac91ce9945ae30f8192023-07-30T11:04:12ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023413110.1007/JHEP04(2023)065Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCDMichał Czakon0Felix Eschment1Tom Schellenberger2Institut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityAbstract We evaluate the one-loop soft current for the emission of two soft gluons or a soft quark-anti-quark pair in massless Quantum Chromodynamics. The results are exact in dimensional regularisation up to a single Feynman integral. Two terms of the Taylor series of the latter integral as a function of ϵ ≡ (4 − d)/2 with d the dimension of spacetime are available from a recent calculation of one-loop triple-collinear splitting functions. Our formulae are necessary for the construction of a subtraction scheme for the evaluation of next-to-next-to-next-to-leading order cross sections in massless QCD.https://doi.org/10.1007/JHEP04(2023)065Higher-Order Perturbative CalculationsFactorizationRenormalization GroupJets and Jet Substructure
spellingShingle Michał Czakon
Felix Eschment
Tom Schellenberger
Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
Journal of High Energy Physics
Higher-Order Perturbative Calculations
Factorization
Renormalization Group
Jets and Jet Substructure
title Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
title_full Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
title_fullStr Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
title_full_unstemmed Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
title_short Revisiting the double-soft asymptotics of one-loop amplitudes in massless QCD
title_sort revisiting the double soft asymptotics of one loop amplitudes in massless qcd
topic Higher-Order Perturbative Calculations
Factorization
Renormalization Group
Jets and Jet Substructure
url https://doi.org/10.1007/JHEP04(2023)065
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AT felixeschment revisitingthedoublesoftasymptoticsofoneloopamplitudesinmasslessqcd
AT tomschellenberger revisitingthedoublesoftasymptoticsofoneloopamplitudesinmasslessqcd