Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT

Fuente: arXiv
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Autori principali: Banik, Sumit, Crivellin, Andreas, Naterop, Luca, Stoffer, Peter
Natura: Preprint
Pubblicazione: 2025
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author Banik, Sumit
Crivellin, Andreas
Naterop, Luca
Stoffer, Peter
author_facet Banik, Sumit
Crivellin, Andreas
Naterop, Luca
Stoffer, Peter
contents We compute the two-loop renormalization-group equations for the baryon-number-violating dimension-six operators in the SMEFT. This includes all three gauge interactions, the Yukawa, and Higgs self-interaction contributions. In addition, we present the one-loop matching of the $S_1$ scalar leptoquark on the SMEFT, which can generate the Wilson coefficients of all four gauge-invariant baryon-number-violating SMEFT operators. Using this example, we demonstrate the cancellation of scheme and matching-scale dependences. Together with the known two-loop renormalization-group evolution below the electroweak scale in the LEFT, as well as the one-loop matching of SMEFT onto LEFT, our results enable consistent next-to-leading-log analyses of nucleon decays, provided that the relevant matrix elements are known at next-to-leading-order accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2510_08682
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT
Banik, Sumit
Crivellin, Andreas
Naterop, Luca
Stoffer, Peter
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
We compute the two-loop renormalization-group equations for the baryon-number-violating dimension-six operators in the SMEFT. This includes all three gauge interactions, the Yukawa, and Higgs self-interaction contributions. In addition, we present the one-loop matching of the $S_1$ scalar leptoquark on the SMEFT, which can generate the Wilson coefficients of all four gauge-invariant baryon-number-violating SMEFT operators. Using this example, we demonstrate the cancellation of scheme and matching-scale dependences. Together with the known two-loop renormalization-group evolution below the electroweak scale in the LEFT, as well as the one-loop matching of SMEFT onto LEFT, our results enable consistent next-to-leading-log analyses of nucleon decays, provided that the relevant matrix elements are known at next-to-leading-order accuracy.
title Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
url https://arxiv.org/abs/2510.08682