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

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

Luca Naterop , Peter Stoffer This is my paper · ORCID
classification hep-phhep-exhep-lat
keywords baryon-number-violatinggammaleftresultssectortheoryaccuracyalgebraically
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-loop matching of the LEFT to the QCD gradient flow

    hep-ph 2026-01 conditional novelty 7.0 of 10

    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  2. Renormalization-group equations of the LEFT at two loops: dimension-five effects

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.

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

    hep-ph 2026-07 accept novelty 6.0 of 10

    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.

  4. Constraints on lepton-flavor mixing with third-generation new physics

    hep-ph 2025-11 conditional novelty 5.0 of 10

    The U(2)_ℓ-breaking spurion δ is constrained to |δ| < 0.051 (95% CL) by R_K(*) and B_s→μμ data, with derived upper limits for LFV τ and B decays.

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