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

Understand

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.