Renormalization-group-improved constraints on dimension-7 baryon-number-violating operators
Yi Liao, Xiao-Dong Ma, and Xiang Zhao

TL;DR
This paper analyzes how renormalization group effects influence constraints on dimension-7 baryon-number-violating operators in the SMEFT, leading to more stringent bounds on Wilson coefficients.
Contribution
It incorporates full RG running effects into nucleon decay constraints, improving bounds on all 297 Wilson coefficients beyond tree-level analyses.
Findings
RG effects tighten bounds on Wilson coefficients.
Yukawa mixing effects are crucial for operators with second and third generation fermions.
All 297 Wilson coefficients are constrained when RG effects are included.
Abstract
We study constraints on dimension-7 SMEFT baryon-number-violating operators from nucleon decays by incorporating full renormalization group (RG) running effects. At high new physics scales, we demonstrate that RG running effects help set stringent bounds on all 297 Wilson coefficients compared to the tree-level analysis in which only coefficients involving the first and second fermion generations could be constrained. Our findings highlight that the RG running effects through Yukawa mixings are particularly important for indirectly probing operators involving the second and third generation fermions.
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