Electron and Muon $(g-2)_{e,\mu}$ Anomalous Magnetic Moment in $U(1)_{L_e-L_{\mu}}$ Symmetry Model

TL;DR

This paper proposes a minimal anomaly-free U(1)_{L_e-L_{}} symmetry model that explains neutrino masses and the anomalous magnetic moments of electrons and muons, aligning with experimental data.

Contribution

It introduces a minimal U(1)_{L_e-L_{}} extension of the Standard Model that simultaneously addresses neutrino phenomenology and (g-2) anomalies.

Findings

Model explains (g-2)_{e,} and (g-2)_{,} within experimental bounds.

Neutrino masses generated via Type-I seesaw mechanism.

Model remains consistent with all relevant experimental data.

Abstract

The nature of neutrino (whether Majorana or Dirac) and the origin of neutrino masses are still some of the mysteries to be resolved. Also, the recent results on (g-2)$_{e,\mu}$ measurements deviate from the Standard Model (SM) predictions and motivate us towards new physics beyond the SM. In this work, we propose a model with the minimal field content in the framework of anomaly free extension of Standard Model; i.e. U(1)$_{L_e-L_{\mu}}$ symmetry model. We find this model capable of explaining the low energy neutrino phenomenology and anomalous magnetic moment(g-2)$_{e,\mu}$ of electron and muon, simultaneously. The field content is extended by a SU(2)$_L$ singlet scalar field $\phi$ and three right handed neutrinos N$_R$(R = 1,2,3). Thus, the neutrino masses are generated using the Type-I seesaw mechanism. The extended model leads to the results, which are in consistency with the experimental values of (g-2)$_{e,\mu}$ and also satisfy all the relevant experimental data.