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

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.

20 pages, 2 figures, 2 tables. Version to appear in JHEP

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• $\bar{B}\to D^{(\ast )}\ell \bar{X}$ decays in effective field theory with massive right-handed neutrinos
• Renormalization group improved implications of semileptonic operators in SMEFT
• Probing light sterile neutrinos in left-right symmetric models with displaced vertices and neutrinoless double beta decay
• Right-handed Dirac and Majorana neutrinos at Belle II
• Constraining the SMEFT Extended with Sterile Neutrinos at FCC-ee
• Nonperturbative effects in neutrino magnetic moments
• Dark Matter EFT, the Third -- Neutrino WIMPs
• Future collider sensitivities to $\nu$SMEFT interactions
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