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.

Operator bases in effective field theories with sterile neutrinos: d ≤ 9

“…With the complete operator bases written down, more physical processes are expected to be explored within the framework of νSMEFT and νLEFT, such as various lepton and baryon number violating processes with sterile neutrinos. Furthermore, the renormalization group (RG) running equations in the νSMEFT and νLEFT [41][42][43], and the matching between the νSMEFT and the νLEFT [19,20] has been investigated up to the dimension 6, although the full RG running equations are still under construction. After all the above theoretical setup equipped, it would be ready to explore light sterile neutrino related processes involving several scales in the EFT framework.…”

Anomalous dimensions from Yukawa couplings in SMNEFT: four-fermion operators

“…This complements the gauge terms calculated in ref. [13]. Even if the right-handed neutrino Yukawa couplings are small, the JHEP05(2021)037…”

“…Loop effects in SMNEFT have only recently started being studied. We presented the gauge terms of the one-loop RGE of all dimension-six operators in SMNEFT [13]. The mixing between the bosonic operators was discussed in ref.…”

Heavy neutral leptons in effective field theory and the high-luminosity LHC

“…Finally, the oneloop renormalization of d = 6 operators containing N R was performed in refs. [85][86][87] (see also ref. [63] for earlier partial results).…”