Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators

Abstract We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power counting. We obtain the results in two different schemes...

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Main Authors: Luca Naterop, Peter Stoffer
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)237
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author Luca Naterop
Peter Stoffer
author_facet Luca Naterop
Peter Stoffer
author_sort Luca Naterop
collection DOAJ
description Abstract We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power counting. We obtain the results in two different schemes: in the algebraically consistent ’t Hooft-Veltman scheme for γ 5, corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations; and in naive dimensional regularization, which in the considered sector of the theory does not lead to any ill-defined γ 5-odd traces. Our results are of interest for a reanalysis of the constraints on physics beyond the Standard Model from proton-decay searches within an EFT framework at next-to-leading-logarithmic accuracy.
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spelling doaj-art-a205c1e6ac3a4fb1b9cfc50b0dfde1472025-08-20T03:04:12ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712810.1007/JHEP07(2025)237Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operatorsLuca Naterop0Peter Stoffer1Physik-Institut, Universität ZürichPhysik-Institut, Universität ZürichAbstract We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power counting. We obtain the results in two different schemes: in the algebraically consistent ’t Hooft-Veltman scheme for γ 5, corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations; and in naive dimensional regularization, which in the considered sector of the theory does not lead to any ill-defined γ 5-odd traces. Our results are of interest for a reanalysis of the constraints on physics beyond the Standard Model from proton-decay searches within an EFT framework at next-to-leading-logarithmic accuracy.https://doi.org/10.1007/JHEP07(2025)237Baryon/Lepton Number ViolationEffective Field TheoriesRenormalization and RegularizationRenormalization Group
spellingShingle Luca Naterop
Peter Stoffer
Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
Journal of High Energy Physics
Baryon/Lepton Number Violation
Effective Field Theories
Renormalization and Regularization
Renormalization Group
title Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
title_full Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
title_fullStr Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
title_full_unstemmed Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
title_short Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
title_sort renormalization group equations of the left at two loops dimension six baryon number violating operators
topic Baryon/Lepton Number Violation
Effective Field Theories
Renormalization and Regularization
Renormalization Group
url https://doi.org/10.1007/JHEP07(2025)237
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AT peterstoffer renormalizationgroupequationsoftheleftattwoloopsdimensionsixbaryonnumberviolatingoperators