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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Format: | Article |
Language: | English |
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SpringerOpen
2023-04-01
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Series: | Journal of High Energy Physics |
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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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format | Article |
id | doaj.art-c9ac3834a6aa44ac91ce9945ae30f819 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-12T21:13:18Z |
publishDate | 2023-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT michałczakon revisitingthedoublesoftasymptoticsofoneloopamplitudesinmasslessqcd AT felixeschment revisitingthedoublesoftasymptoticsofoneloopamplitudesinmasslessqcd AT tomschellenberger revisitingthedoublesoftasymptoticsofoneloopamplitudesinmasslessqcd |