Anomalous dimensions from gauge couplings in SMEFT with right-handed neutrinos

TL;DR

This paper computes the one-loop anomalous dimensions of dimension-six operators in the Standard Model Neutrino Effective Field Theory (SMNEFT), providing insights into their renormalization group evolution and phenomenological implications.

Contribution

It presents the gauge coupling terms of the one-loop anomalous dimension matrix for all dimension-six SMNEFT operators, including operator mixing patterns and applicability to Dirac and Majorana neutrinos.

Findings

Operators form five RGE-closed subsets.

Results apply to both Dirac and Majorana neutrinos.

Discusses operator mixing and phenomenological implications.

Abstract

Standard Model Neutrino Effective Field Theory (SMNEFT) is an effective theory with Standard Model (SM) gauge-invariant operators constructed only from SM and right-handed neutrino fields. For the full set of dimension-six SMNEFT operators, we present the gauge coupling terms of the one-loop anomalous dimension matrix for renormalization group evolution (RGE) of the Wilson coefficients between a new physics scale and the electroweak scale. We find that the SMNEFT operators can be divided into five subsets which are closed under RGE. Our results apply for both Dirac and Majorana neutrinos. We also discuss the operator mixing pattern numerically and comment on some interesting phenomenological implications.