Five-loop renormalisation of QCD in covariant gauges

Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results conf...

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Main Authors: K. G. Chetyrkin, G. Falcioni, F. Herzog, J.A.M. Vermaseren
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)179
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author K. G. Chetyrkin
G. Falcioni
F. Herzog
J.A.M. Vermaseren
author_facet K. G. Chetyrkin
G. Falcioni
F. Herzog
J.A.M. Vermaseren
author_sort K. G. Chetyrkin
collection DOAJ
description Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator A 2 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.
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spelling doaj.art-8ca228e812c1463ab733ba4140c18aa82022-12-22T01:48:49ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011810.1007/JHEP10(2017)179Five-loop renormalisation of QCD in covariant gaugesK. G. Chetyrkin0G. Falcioni1F. Herzog2J.A.M. Vermaseren3II Institut für Theoretische Physik, Universität HamburgNikhef Theory GroupNikhef Theory GroupNikhef Theory GroupAbstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator A 2 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.http://link.springer.com/article/10.1007/JHEP10(2017)179Perturbative QCDRenormalization Group
spellingShingle K. G. Chetyrkin
G. Falcioni
F. Herzog
J.A.M. Vermaseren
Five-loop renormalisation of QCD in covariant gauges
Journal of High Energy Physics
Perturbative QCD
Renormalization Group
title Five-loop renormalisation of QCD in covariant gauges
title_full Five-loop renormalisation of QCD in covariant gauges
title_fullStr Five-loop renormalisation of QCD in covariant gauges
title_full_unstemmed Five-loop renormalisation of QCD in covariant gauges
title_short Five-loop renormalisation of QCD in covariant gauges
title_sort five loop renormalisation of qcd in covariant gauges
topic Perturbative QCD
Renormalization Group
url http://link.springer.com/article/10.1007/JHEP10(2017)179
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