Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting $γ_5$

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Main Authors: Fuentes-Martín, Javier, Moreno-Sánchez, Adrián, Thomsen, Anders Eller
Format: Preprint
Published: 2025
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author Fuentes-Martín, Javier
Moreno-Sánchez, Adrián
Thomsen, Anders Eller
author_facet Fuentes-Martín, Javier
Moreno-Sánchez, Adrián
Thomsen, Anders Eller
contents We present a systematic functional approach to calculating symmetry-restoring counterterms in Effective Field Theories (EFTs) regulated using the Breitenlohner--Maison--'t Hooft--Veltman (BMHV) scheme. Building on a recently developed method that employs auxiliary spurion fields, our approach automates the extraction of these counterterms directly from the one-loop effective action, offering a streamlined and efficient procedure. We demonstrate its efficacy by applying it to the Standard Model Effective Field Theory (SMEFT) at dimension six, providing the first complete determination of its symmetry-restoring counterterms in the BMHV scheme. Our work establishes a robust foundation for consistent one-loop matching and two-loop running computations in EFTs with chiral gauge symmetries.
format Preprint
id arxiv_https___arxiv_org_abs_2507_19589
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting $γ_5$
Fuentes-Martín, Javier
Moreno-Sánchez, Adrián
Thomsen, Anders Eller
High Energy Physics - Phenomenology
We present a systematic functional approach to calculating symmetry-restoring counterterms in Effective Field Theories (EFTs) regulated using the Breitenlohner--Maison--'t Hooft--Veltman (BMHV) scheme. Building on a recently developed method that employs auxiliary spurion fields, our approach automates the extraction of these counterterms directly from the one-loop effective action, offering a streamlined and efficient procedure. We demonstrate its efficacy by applying it to the Standard Model Effective Field Theory (SMEFT) at dimension six, providing the first complete determination of its symmetry-restoring counterterms in the BMHV scheme. Our work establishes a robust foundation for consistent one-loop matching and two-loop running computations in EFTs with chiral gauge symmetries.
title Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting $γ_5$
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2507.19589