  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.
