Relic Abundance of Dark Matter with $\Delta$(54) Flavor Symmetry

Abstract

In this work we discuss the neutrino phenomenology in a $\Delta (54)$ discrete flavor symmetry and evaluate the relic abundance of dark matter (DM) and active neutrino-DM mixing angle considering various cosmological constraints. We introduced two Standard Model Higgs particles along with vector-like fermions and a new particle (S) which is a gauge singlet in the Standard Model. This modification leads to a mass matrix that diverges from the tribimaximal neutrino mixing pattern resulting in a non-zero reactor angle (${\theta }_{13}$). We also incorporated a $Z_2\otimes Z_3\otimes Z_4$ symmetry for the specific interactions in our model. The additional particle S is a sterile neutrino which is considered to be a probable dark matter candidate with mass in keV range.

13 pages, 6 figures, 2 tables