Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting γ₅

2025/07/25 by Fuentes-Martín, Javier, Moreno-Sánchez, Adrián, Thomsen, Anders Eller · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2507.19589

Abstract

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.

Citations

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Cited by

• Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme

Related

• Mapping between γ₅ schemes in the Standard Model Effective Field Theory
• Spurious gauge-invariance and γ₅ in Dimensional Regularization
• γ₅ in dimensional regularization -- a no-compromise approach using the BMHV scheme
• Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting γ₅ in the BMHV Scheme
• Two-Loop Renormalization of a Chiral SU(2) Gauge Theory in Dimensional Regularization with Non-Anticommuting γ₅