Dark Matter and $(g-2)_{e,\mu}$ in ISS(2,3) based Gauged $U(1)_{L_{e}-L{\mu}}$ Symmetric Model

TL;DR

This paper presents a unified model incorporating ISS(2,3), a $U(1)_{L_{e}-L_{}}$ gauge symmetry, explaining neutrino properties, dark matter, and the anomalous magnetic moments of electron and muon with testable TeV-scale physics.

Contribution

It introduces a minimal $U(1)_{L_{e}-L_{}}$ gauge symmetry integrated with ISS(2,3) to simultaneously address neutrino phenomenology, dark matter, and $(g-2)$ anomalies.

Findings

Viable dark matter candidate from sterile neutrino state.

MeV scale gauge boson explains $(g-2)_{e,}$ anomalies.

Neutrino phenomenology consistent with experimental data.

Abstract

We proposed a model which can explain the neutrino phenomenology, dark matter and anomalous magnetic moment$(g-2)$ in a common framework. The inverted sea saw (ISS)(2,3) mechanism has been incorporated, in which we get an extra sterile state and this state act as a viable dark matter candidate. The right handed neutrino mass is obtained in TeV scale, which is accessible at LHC. The anomaly free $U(1)_{L_{e}-L{\mu}}$ gauge symmetry is introduced to explain the anomalous magnetic moment of electron and muon because it provides a natural origin of $(g-2)$ in a very minimal setup. The corresponding MeV scale gauge boson successfully explain the anomalous magnetic moment of electron and muon$(g-2)_{e,\mu}$, simultaneously. Thus obtained neutrino phenomenology and relic abundance of dark matter are compatible with experimental results.