Addressing $R_K$ and neutrino mixing in a class of $U(1{)}_X$ models

Abstract

We present a class of minimal $U(1{)}_X$ models as a plausible solution to the $R_K$ anomaly that can also help reproduce the neutrino mixing pattern. The symmetries and the corresponding $X$-charges of the fields are determined in a bottom-up approach demanding both theoretical and experimental consistencies. The breaking of $U(1{)}_X$ symmetry results in a massive $Z^{\prime }$, whose couplings with leptons and quarks are necessarily non-universal to address the $R_K$ anomaly. In the process, an additional Higgs doublet is introduced to generate quark mixings. The mixings in the neutrino sector are generated through Type-I seesaw mechanism by the addition of three right handed neutrinos and a scalar singlet. The $Z^{\prime }$ can be probed with a few hundred fb${}^{-1}$ of integrated luminosity at the 13 TeV LHC in the di-muon channel.

Comments: 6 pages, 2 figures, talk presented at the 9th International Workshop on the CKM Unitarity Triangle