# Phenomenology of keV scale sterile neutrino dark matter with $S_{4}$ flavor symmetry

## TL;DR

This paper explores a theoretical model combining $S_{4}$ flavor symmetry with inverse seesaw to explain neutrino properties and keV-scale sterile neutrino dark matter, analyzing parameter constraints from cosmological data.

## Contribution

It introduces a novel $S_{4}$ flavor symmetric inverse seesaw model that naturally generates correct neutrino mixing and viable keV sterile neutrino dark matter candidates.

## Key findings

- The model produces realistic neutrino mass matrices with non-zero $ heta_{13}$.
- Parameter space constrained by cosmological bounds on dark matter mass and mixing.
- Both normal and inverted hierarchies are analyzed for dark matter viability.

## Abstract

We study the possibility of simultaneously addressing neutrino phenomenology and the dark matter in the framework of inverse seesaw. The model is the extension of the standard model by the addition of two right handed neutrinos and three sterile fermions which leads to a light sterile state with the mass in the keV range along with three light active neutrino states. The lightest sterile neutrino can account for a feasible dark matter(DM) candidate. We present a $S_{4}$ flavor symmetric model which is further augmented by $Z_{4}\times Z_{3}$ symmetry to constrain the Yukawa Lagrangian. The structures of the mass matrices involved in inverse seesaw within the $S_{4}$ framework naturally give rise to correct neutrino mass matrix with non-zero reactor mixing angle $ \theta_{13}$. In this framework, we conduct a detailed numerical analysis both for normal hierarchy as well as inverted hierarchy to obtain dark matter mass and DM-active mixing which are the key factors for considering sterile neutrino as a viable dark matter candidate. We constrain the parameter space of the model from the latest cosmological bounds on the mass of the dark matter and DM-active mixing.