Dark Matter, Neutrino Mass and Muon ($$g-2$$) in a $$U(1)_{L_{\mu }}-L_{\tau }$$ Model

Abstract

Existence of dark matter (DM) and neutrino masses are the two beyond standard model (BSM) problems. In this work, we have extended the standard model (SM) gauge group by a local \(U(1)_{L_{\mu }-L_{\tau }}\) symmetry. We have extended the SM particle list by adding three right handed (RH) neutrinos to generate neutrino masses by Type I seesaw mechanism. We have also added two SM singlet scalars, one of them can serve as the DM candidate while other one takes VEV and gives masses to RH neutrinos and additional gauge boson. Beside explaining the neutrino masses and peculiar mixing angles of the neutrinos, we have also explained DM phenomenology and the muon (\(g-2\)) anomaly by the one loop contribution of the additional gauge boson.