Muon anomalous magnetic dipole moment in the μνSSM

Recently,the Muon g-2 experiment at Fermilab measured the muon anomalous magnetic dipole moment(MDM),aμ=(gμ-2)/2,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 μfrom theνSupersymmetric Standard Model (μνSSM) combined with the updated experimental average.The μνSSM 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 ae=(ge-2)/2and aτ=(gτ-2)/2,at the two-loop level in theμνSSM.In addition,the decaying of the 125 GeV Higgs boson into a pair of charged leptons in the μνSSM is analyzed.