Supersymmetric gauged U(1)$_{L_{\mu}-L_{\tau}}$ model for electron and muon $(g-2)$ anomaly

TL;DR

This paper proposes a supersymmetric gauged U(1)_{L_{μ}-L_{τ}} model that can simultaneously explain the anomalous magnetic moments of both the muon and electron, consistent with current experimental constraints.

Contribution

It introduces a simple supersymmetric model that accommodates both lepton magnetic moment anomalies without lepton flavor violation, constrained by recent experimental data.

Findings

The model fits both muon and electron (g-2) anomalies.

Constraints from LHC, COHERENT, and other experiments limit parameter space.

Predictions for detection at future experiments like DUNE and BELLE-II.

Abstract

Minimal gauged U(1)$_{L_{\mu}-L_{\tau}}$ models can provide for an additional source for the muon anomalous magnetic moment however it is difficult to accommodate the discrepancy in the electron magnetic moment in tandem. Owing to the relative sign between the discrepancies in these quantities, it seems unlikely that they arise from the same source. We show that a supersymmetric (SUSY) gauged U(1)$_{L_{\mu}-L_{\tau}}$ model can accommodate both the muon and electron anomalous magnetic moments in a very simple and intuitive scenario, without utilizing lepton flavor violation. The currently allowed parameter space in this kind of a scenario is constrained from the latest LHC and various low energy experimental data,e.g., recent COHERENT data, CCFR, Borexino, BaBaR, supernova etc. These constraints, in conjunction with the requirement to explain both lepton magnetic moments, lead to an upper bound on the first generation slepton mass, a lower bound on the second generation slepton mass and constricts the allowed range for the new gauge boson mass and coupling. The scheme can be probed at the ongoing COHERENT and Coherent CAPTAIN-Mills experiments and at future experiments, e.g., DUNE, BELLE-II etc.