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

Abstract

The Standard Model Neutrino Effective Field Theory (SMNEFT) is the Standard Model Effective Field Theory (SMEFT) augmented with right-handed neutrinos. Building on our previous work, arXiv:2010.12109, we calculate the Yukawa coupling contributions to the one-loop anomalous dimension matrix for the 11 dimension-six four-fermion SMNEFT operators. We also present the new contributions to the anomalous dimension matrix for the 14 four-fermion SMEFT operators that mix with the SMNEFT operators through the Yukawa couplings of the right-handed neutrinos.

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.…”

Renormalization group improved implications of semileptonic operators in SMEFT

“…The recent results for ADMs in the SMEFT extended with right-handed neutrino fields can be found in refs. [18][19][20]. Based on these calculations, the tools such as wilson [21] and DsixTools [22,23] have been developed.…”

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).…”