Completing the one-loop $\nu$SMEFT Renormalization Group Evolution

TL;DR

This paper computes the full one-loop renormalization group equations for the $ u$SMEFT, including Yukawa coupling effects, crucial for understanding neutrino physics and lepton flavor violation at low scales.

Contribution

It provides the complete set of one-loop anomalous dimensions for the $ u$SMEFT, extending previous gauge-only results to include Yukawa coupling contributions.

Findings

Complete one-loop RG equations for $ u$SMEFT derived.

Yukawa coupling effects significantly impact RG evolution.

Enhanced sensitivity of $ u$SMEFT operators to lepton flavor violation.

Abstract

In this work we consider the Standard Model Effective Field Theory extended with right-handed neutrinos, the $\nu$SMEFT, and calculate the full set of one-loop anomalous dimensions that are proportional to Yukawa couplings. These contributions are particularly relevant when symmetry-protected low scale seesaw models are embeded in the SMEFT, since large neutrino Yukawa couplings are expected. By combining our results with the already available gauge anomalous dimensions, we provide the complete set of one-loop renormalization group evolution equations for the dimension six $\nu$SMEFT. As a possible phenomenological implication of our results, we discuss the sensitivity of lepton flavor-violating observables to $\nu$SMEFT operators, focusing on the more sensitive $\mu\to e$ transitions.