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We identify a class of $U(1)_X$ models which can explain the $R_K$ anomalyand the neutrino mixing pattern, by using a bottom-up approach. The different$X$-charges of lepton generations account for the lepton universality violationrequired to explain $R_K$. In addition to the three right-handed neutrinosneeded for the Type-I seesaw mechanism, these minimal models only introduce anadditional doublet Higgs and a singlet scalar. While the former helps inreproducing the quark mixing structure, the latter gives masses to neutrinosand the new gauge boson $Z^\prime$. Our bottom-up approach determines the$X$-charges of all particles using theoretical consistency and experimentalconstraints. We find the parameter space allowed by the constraints fromneutral meson mixing, rare $b\to s$ decays and direct collider searches for$Z^\prime$. Such a $Z^\prime$ may be observable at the ongoing run of the LargeHadron Collider with a few hundred fb$^{-1}$ of integrated luminosity.

Neutrino mixing and $R_K$ anomaly in $U(1)_X$ models: a bottom-up approach