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: in the algebraically consistent 't Hooft-Veltman scheme for ${\gamma }_5$, 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 ${\gamma }_5$-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.

23 pages, 4 tables; version published in JHEP

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Cited by in corpus (6)

• Renormalization-group equations of the LEFT at two loops: dimension-six operators
• Constraints on lepton-flavor mixing with third-generation new physics
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting ${\gamma }_5$
• Parity violation in Møller scattering within low-energy effective field theory
• One-loop matching of the LEFT to the QCD gradient flow
• Two loops, four tops and two ${\gamma }_5$ schemes: a renormalization story