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Tree-level splitting amplitudes for a quark into four collinear partons

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N$^...

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Detalles Bibliográficos
Autores principales: Del Duca, Vittorio, Duhr, Claude, Haindl, Rayan, Lazopoulos, Achilleas, Michel, Martin
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP02(2020)189
http://cds.cern.ch/record/2705999
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author Del Duca, Vittorio
Duhr, Claude
Haindl, Rayan
Lazopoulos, Achilleas
Michel, Martin
author_facet Del Duca, Vittorio
Duhr, Claude
Haindl, Rayan
Lazopoulos, Achilleas
Michel, Martin
author_sort Del Duca, Vittorio
collection CERN
description We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N$^{3}$LO) in the strong coupling constant. Further, we consider the iterated limit when m$^{′}$ massless partons become collinear to each other within a bigger set of m collinear partons, as well as the limits when one gluon or a q$ \overline{q} $ pair or two gluons become soft within a set of m collinear partons.
id cern-2705999
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
record_format invenio
spelling cern-27059992023-10-04T07:36:18Zdoi:10.1007/JHEP02(2020)189http://cds.cern.ch/record/2705999engDel Duca, VittorioDuhr, ClaudeHaindl, RayanLazopoulos, AchilleasMichel, MartinTree-level splitting amplitudes for a quark into four collinear partonshep-phParticle Physics - PhenomenologyWe compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N$^{3}$LO) in the strong coupling constant. Further, we consider the iterated limit when m$^{′}$ massless partons become collinear to each other within a bigger set of m collinear partons, as well as the limits when one gluon or a q$ \overline{q} $ pair or two gluons become soft within a set of m collinear partons.We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (${\rm N^3LO}$) in the strong coupling constant. Further, we consider the iterated limit when $m'$ massless partons become collinear to each other within a bigger set of $m$ collinear partons, as well as the limits when one gluon or a $q\bar{q}$ pair or two gluons become soft within a set of $m$ collinear partons.arXiv:1912.06425CERN-TH-2019-221CP3-19-57oai:cds.cern.ch:27059992019-12-13
spellingShingle hep-ph
Particle Physics - Phenomenology
Del Duca, Vittorio
Duhr, Claude
Haindl, Rayan
Lazopoulos, Achilleas
Michel, Martin
Tree-level splitting amplitudes for a quark into four collinear partons
title Tree-level splitting amplitudes for a quark into four collinear partons
title_full Tree-level splitting amplitudes for a quark into four collinear partons
title_fullStr Tree-level splitting amplitudes for a quark into four collinear partons
title_full_unstemmed Tree-level splitting amplitudes for a quark into four collinear partons
title_short Tree-level splitting amplitudes for a quark into four collinear partons
title_sort tree-level splitting amplitudes for a quark into four collinear partons
topic hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/JHEP02(2020)189
http://cds.cern.ch/record/2705999
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