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arxiv 2505.03871 v2 pith:OKG3UNXA submitted 2025-05-06 hep-ph hep-exhep-lat

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

classification hep-ph hep-exhep-lat
keywords baryon-number-violatinggammaleftresultssectortheoryaccuracyalgebraically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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  1. Inclusive Charmless Non-Leptonic B Decays at NLO within and beyond the Standard Model

    hep-ph 2026-07 accept novelty 6.0

    Complete NLO QCD corrections to charmless inclusive non-leptonic B-decay widths are computed for the full BSM operator set, yielding 26 constrained directions in Wilson coefficient space.

  2. Renormalization of the SMEFT to Dimension Eight: Fermionic Interactions II

    hep-ph 2026-06 unverdicted novelty 5.0

    Computes one-loop mixing of bosonic and two-fermion interactions into two-fermion operators in dim-8 SMEFT, leaving only four-fermion to two-fermion mixing to finish the renormalization program.