Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT
Abstract
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 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.
Keywords
Cite
@article{arxiv.2510.08682,
title = {Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT},
author = {Sumit Banik and Andreas Crivellin and Luca Naterop and Peter Stoffer},
journal= {arXiv preprint arXiv:2510.08682},
year = {2026}
}
Comments
23 pages, 2 figures, 2 tables; version published in JHEP