Revisiting Discrete Dark Matter Model:\theta_{13}\neq0 and \nu_{R} Dark Matter

TL;DR

This paper explores a discrete dark matter model with $A_4$ symmetry, demonstrating how radiative corrections induce non-zero $ heta_{13}$ and neutrino masses, and investigates the viability of right-handed neutrinos as dark matter candidates.

Contribution

It shows that radiative corrections can generate non-zero $ heta_{13}$ and neutrino masses, and proposes a viable dark matter scenario with TeV-scale right-handed neutrinos within an $A_4$ flavor symmetry framework.

Findings

Radiative corrections lead to non-zero $ heta_{13}$ and neutrino masses.

A viable dark matter scenario with TeV-scale right-handed neutrinos is possible.

The model is consistent with collider, low energy, and cosmological constraints.

Abstract

We revisit the discrete dark matter model with $A_4$ flavor symmetry originally introduced by M.Hirsch {\it et.al}. We show that radiative corrections can lead to non-zero $\theta_{13}$ and non-zero mass for the lightest neutrino. We find an interesting relation among neutrino mixing parameters and it indicates the sizable deviation of $s_{23}$ from the maximal angle $s_{23}^2=1/2$ and the degenerate mass spectrum for neutrinos. Also we study the possibilities that the right-handed neutrino is a dark matter candidate. Assuming the thermal freeze-out explains observed dark matter abundance, TeV-scale right-handed neutrino and flavored scalar bosons are required. In such a case, flavor symmetry plays an important role for the suppression of lepton flavor violating processes as well as for the stability of dark matter. We show that this scenario can be viable against currently existing constraints from collider, low energy experiments and cosmological observations.