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arXiv · 2505.03871

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

Luca Naterop·Peter Stoffer
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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.

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Luca Naterop, Peter Stoffer. 2025-05-06. Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators. https://doi.org/10.1007/jhep07(2025)237

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