# Dark matter mass from relic abundance, an extra $U(1)$ gauge boson, and active-sterile neutrino mixing

## TL;DR

This paper explores the parameter space of a model with an extra U(1) gauge symmetry, dark matter, and active-sterile neutrino mixing, constrained by experimental data to determine viable mass ranges and symmetry breaking scales.

## Contribution

It identifies allowed mass regions for the extra gauge boson and dark matter within an extended gauge model using current experimental bounds.

## Key findings

- Allowed mass regions for gauge boson and dark matter identified
- Lower bounds on masses derived from experimental constraints
- Implications for the symmetry breaking scale of the extra U(1) gauge symmetry

## Abstract

In a model with an extra $U(1)$ gauge to SM gauge group, we have shown the allowed region of masses of extra gauge boson and the dark matter which is the lightest one among other right-handed Majorana fermions present in the model. To obtain this region, we have used bounds coming from constraints on active-sterile neutrino masses and mixing from various oscillation experiments, constraint on dark matter relic density obtained by PLANCK together with the constraint on the extra gauge boson mass and its gauge coupling recently obtained by ATLAS Collaboration at LHC. From the allowed regions, it is possible to get some lower bounds on the masses of the extra gauge boson and the dark matter and considering those values it is possible to infer what could be the spontaneous symmetry breaking scale of an extra $U(1)$ gauge symmetry.