A Radiative Neutrino Mass Model in Dark Non-Abelian Gauge Symmetry

TL;DR

This paper proposes a dark sector model with non-Abelian $SU(2)_D$ symmetry that generates neutrino masses, predicts multicomponent dark matter, and explains relic density through gauge interactions and kinetic mixing.

Contribution

It introduces a novel $SU(2)_D$ dark gauge symmetry with bi-doublet leptons, linking neutrino mass generation and dark matter stability in a unified framework.

Findings

Neutrino masses generated at one-loop level.

Stable multicomponent dark matter candidates.

Relic density explained by gauge interactions with kinetic mixing.

Abstract

We discuss a model based on dark sector described by non-Abelian $SU(2)_D$ gauge symmetry where we introduce $SU(2)_L \times SU(2)_D$ bi-doublet vector-like leptons to generate active neutrino masses and kinetic mixing between $SU(2)_D$ and $U(1)_Y$ gauge fields at one-loop level. After spontaneous symmetry breaking of $SU(2)_D$, we have remnant $Z_4$ symmetry guaranteeing stability of dark matter candidates. We formulate neutrino mass matrix and related lepton flavor violating processes and discus dark matter physics estimating relic density. It is found that our model realize multicomponent dark matter scenario due to the $Z_4$ symmetry and relic density can be explained by gauge interactions with kinetic mixing effect.