Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory

Abstract We apply the BMHV scheme for non-anticommuting γ 5 to an abelian chiral gauge theory at the two-loop level. As our main result, we determine the full structure of symmetry-restoring counterterms up to the two-loop level. These counterterms turn out to have the same structure as at the one-l...

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Autores principales:	Hermès Bélusca-Maïto, Amon Ilakovac, Paul Kühler, Marija Mador-Božinović, Dominik Stöckinger
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Anomalies in Field and String Theories BRST Quantization Renormalization Regularization and Renormalons Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/1c803ca78aea4d5bbcb21b440c500ce9
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spelling	oai:doaj.org-article:1c803ca78aea4d5bbcb21b440c500ce92021-11-28T12:40:29ZTwo-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory10.1007/JHEP11(2021)1591029-8479https://doaj.org/article/1c803ca78aea4d5bbcb21b440c500ce92021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)159https://doaj.org/toc/1029-8479Abstract We apply the BMHV scheme for non-anticommuting γ 5 to an abelian chiral gauge theory at the two-loop level. As our main result, we determine the full structure of symmetry-restoring counterterms up to the two-loop level. These counterterms turn out to have the same structure as at the one-loop level and a simple interpretation in terms of restoration of well-known Ward identities. In addition, we show that the ultraviolet divergences cannot be canceled completely by counterterms generated by field and parameter renormalization, and we determine needed UV divergent evanescent counterterms. The paper establishes the two-loop methodology based on the quantum action principle and direct computations of Slavnov-Taylor identity breakings. The same method will be applicable to nonabelian gauge theories.Hermès Bélusca-MaïtoAmon IlakovacPaul KühlerMarija Mador-BožinovićDominik StöckingerSpringerOpenarticleAnomalies in Field and String TheoriesBRST QuantizationRenormalization Regularization and RenormalonsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-32 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Anomalies in Field and String Theories BRST Quantization Renormalization Regularization and Renormalons Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Anomalies in Field and String Theories BRST Quantization Renormalization Regularization and Renormalons Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Hermès Bélusca-Maïto Amon Ilakovac Paul Kühler Marija Mador-Božinović Dominik Stöckinger Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
description	Abstract We apply the BMHV scheme for non-anticommuting γ 5 to an abelian chiral gauge theory at the two-loop level. As our main result, we determine the full structure of symmetry-restoring counterterms up to the two-loop level. These counterterms turn out to have the same structure as at the one-loop level and a simple interpretation in terms of restoration of well-known Ward identities. In addition, we show that the ultraviolet divergences cannot be canceled completely by counterterms generated by field and parameter renormalization, and we determine needed UV divergent evanescent counterterms. The paper establishes the two-loop methodology based on the quantum action principle and direct computations of Slavnov-Taylor identity breakings. The same method will be applicable to nonabelian gauge theories.
format	article
author	Hermès Bélusca-Maïto Amon Ilakovac Paul Kühler Marija Mador-Božinović Dominik Stöckinger
author_facet	Hermès Bélusca-Maïto Amon Ilakovac Paul Kühler Marija Mador-Božinović Dominik Stöckinger
author_sort	Hermès Bélusca-Maïto
title	Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
title_short	Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
title_full	Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
title_fullStr	Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
title_full_unstemmed	Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
title_sort	two-loop application of the breitenlohner-maison/’t hooft-veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/1c803ca78aea4d5bbcb21b440c500ce9
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Two-loop application of the Breitenlohner-Maison/’t Hooft-Veltman scheme with non-anticommuting γ 5: full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory

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