Towards general scalar-Yukawa renormalisation group equations at three-loop order

Towards general scalar-Yukawa renormalisation group equations at three-loop order

Abstract For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme are investigated at three-loop order in perturbation theory. Collecting literature results, general expressions are obtained for f...

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Main Author: Tom Steudtner
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Renormalization Group
Renormalization Regularization and Renormalons
Online Access:https://doi.org/10.1007/JHEP05(2021)060
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spelling doaj-1aeb070c9e3d406b959188de6a69a5ad2021-05-09T11:06:59ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021512410.1007/JHEP05(2021)060Towards general scalar-Yukawa renormalisation group equations at three-loop orderTom Steudtner0Fakultät für Physik, TU DortmundAbstract For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme are investigated at three-loop order in perturbation theory. Collecting literature results, general expressions are obtained for field anomalous dimensions, Yukawa interactions, as well as fermion masses. The renormalisation group evolution of scalar quartic, cubic and mass terms is determined up to a few unknown coefficients. The combined results are applied to compute the renormalisation group evolution of the gaugeless Litim-Sannino model.https://doi.org/10.1007/JHEP05(2021)060Renormalization GroupRenormalization Regularization and Renormalons
collection DOAJ
language English
format Article
sources DOAJ
author Tom Steudtner
spellingShingle Tom Steudtner
Towards general scalar-Yukawa renormalisation group equations at three-loop order
Journal of High Energy Physics
Renormalization Group
Renormalization Regularization and Renormalons
author_facet Tom Steudtner
author_sort Tom Steudtner
title Towards general scalar-Yukawa renormalisation group equations at three-loop order
title_short Towards general scalar-Yukawa renormalisation group equations at three-loop order
title_full Towards general scalar-Yukawa renormalisation group equations at three-loop order
title_fullStr Towards general scalar-Yukawa renormalisation group equations at three-loop order
title_full_unstemmed Towards general scalar-Yukawa renormalisation group equations at three-loop order
title_sort towards general scalar-yukawa renormalisation group equations at three-loop order
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-05-01
description Abstract For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the MS ¯ $$ \overline{\mathrm{MS}} $$ scheme are investigated at three-loop order in perturbation theory. Collecting literature results, general expressions are obtained for field anomalous dimensions, Yukawa interactions, as well as fermion masses. The renormalisation group evolution of scalar quartic, cubic and mass terms is determined up to a few unknown coefficients. The combined results are applied to compute the renormalisation group evolution of the gaugeless Litim-Sannino model.
topic Renormalization Group
Renormalization Regularization and Renormalons
url https://doi.org/10.1007/JHEP05(2021)060
work_keys_str_mv AT tomsteudtner towardsgeneralscalaryukawarenormalisationgroupequationsatthreelooporder
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