Muon anomalous magnetic dipole moment in the μ νSSM * *Supported by the National Natural Science Foundation of China (11705045, 11535002, 12075074), the Natural Science Foundation for Distinguished Young Scholars of Hebei Province (A2022201017), the Natural Science Foundation of Guangxi Autonomous Region (2022GXNSFDA035068), the youth top-notch talent support program of the Hebei Province, and Midwest Universities Comprehensive Strength Promotion project

Abstract

Recently, the Muon g-2 experiment at Fermilab measured the muon anomalous magnetic dipole moment (MDM), , and reported that the new experimental average increases the difference between the experiment and the standard model (SM) prediction to 4.2σ. In this work, we reanalyze the muon anomalous MDM at the two-loop level in the μ from the ν Supersymmetric Standard Model ( SSM) combined with the updated experimental average. The SSM can explain the current difference between the experimental measurement and the SM theoretical prediction for the muon anomalous MDM, constrained by the 125 GeV Higgs boson mass and decays, the rare decay , and so on. We also investigate the anomalous MDM of the electron and tau lepton, and , at the two-loop level in the SSM. In addition, the decaying of the 125 GeV Higgs boson into a pair of charged leptons in the SSM is analyzed.