# A neutrino mass model with hidden $U(1)$ gauge symmetry

## TL;DR

This paper introduces a neutrino mass model with a hidden $U(1)$ gauge symmetry that incorporates a dark matter candidate, fitting neutrino data and addressing relic density, muon g-2, and collider signatures.

## Contribution

It presents a novel inverse seesaw model with hidden $U(1)$ symmetry and explores its implications for dark matter, neutrino oscillations, and collider phenomenology.

## Key findings

- Model explains relic density and muon g-2 discrepancy.
- Constraints from direct detection and LHC signatures are analyzed.
- Scalar spectra and neutrino data fitting are detailed.

## Abstract

We propose a realisation of inverse seesaw model controlled by hidden $U(1)$ gauge symmetry, and discuss the impact of a bosonic dark matter (DM) candidate by imposing a $Z_2$ parity. We present the detail of scalar spectra and apply the Casas-Ibarra parametrisation to fit the neutrino oscillation data. For this model, the allowed region is extracted to explain the observed relic density and the muon $g-2$ discrepancy, satisfying flavor constraints with DM involved. We interpret the DM annihilation into $\bar f f $ including all SM charged fermions and investigate the direct detection to place the bound on DM-Higgs coupling. Finally the LHC DM production is explored in light of charged lepton pair signature plus missing transverse energy.