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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$^...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
2019
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP02(2020)189 http://cds.cern.ch/record/2705999 |
_version_ | 1780964845077659648 |
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author | Del Duca, Vittorio Duhr, Claude Haindl, Rayan Lazopoulos, Achilleas Michel, Martin |
author_facet | Del Duca, Vittorio Duhr, Claude Haindl, Rayan Lazopoulos, Achilleas Michel, Martin |
author_sort | Del Duca, Vittorio |
collection | CERN |
description | We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a quark parent in the limit where four partons become collinear to each other. This is part of the universal infrared behaviour of the QCD scattering amplitudes at next-to-next-to-next-to-leading order (N$^{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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