Gauged $U(1)_{L_\mu - L_\tau}$ model in light of muon $g-2$ anomaly, neutrino mass and dark matter phenomenology

TL;DR

This paper extends the gauged $U(1)_{L_ - L_ au}$ model to simultaneously address the muon $g-2$ anomaly, neutrino masses, and dark matter, successfully explaining cosmic positron excesses within experimental constraints.

Contribution

It introduces right-handed neutrinos and a vector-like fermion into the model, providing a unified framework for muon $g-2$, neutrino masses, and dark matter phenomenology.

Findings

Model explains muon $g-2$ anomaly within parameter space.

Dark matter annihilation accounts for cosmic positron excess.

Model satisfies relic density and direct detection constraints.

Abstract

Gauged $U(1)_{L_\mu - L_\tau}$ model has been advocated for a long time in light of muon $g-2$ anomaly, which is a more than $3\sigma$ discrepancy between the experimental measurement and the standard model prediction. We augment this model with three right-handed neutrinos $(N_e, N_\mu, N_\tau)$ and a vector-like singlet fermion $(\chi)$ to explain simultaneously the non-zero neutrino mass and dark matter content of the Universe, while satisfying anomalous muon $g-2$ constraints. It is shown that in a large parameter space of this model we can explain positron excess, observed at PAMELA, Fermi-LAT and AMS-02, through dark matter annihilation, while satisfying the relic density and direct detection constraints.