Radiative neutrino mass model in dark non-Abelian gauge symmetry

Abstract

We discuss a model based on the dark sector described by a non-Abelian $SU(2{)}_{D}$ gauge symmetry where we introduce $SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{D}$ bidoublet vector-like leptons to generate active neutrino masses and kinetic mixing between $SU(2{)}_{D}$ and $U(1{)}_{Y}$ gauge fields at the one-loop level. After spontaneous symmetry breaking of $SU(2{)}_{D}$, we have a remnant ${Z}_{4}$ symmetry, guaranteeing the stability of dark matter candidates. We formulate the neutrino mass matrix and related lepton-flavor-violating processes and discuss dark matter physics where we estimate relic density of dark matter. We find that our model realizes a multicomponent dark matter scenario due to the ${Z}_{4}$ symmetry, and that the relic density can be explained by gauge interactions with a kinetic mixing effect.