\begin{document}$ a_\mu=(g_\mu-2)/2 $\end{document}, and reported that the new experimental average increases the difference between the experiment and the standard model (SM) prediction to 4.2σ. In this work, we reanalyze the muon anomalous MDM at the two-loop level in the μ from the ν Supersymmetric Standard Model ( \begin{document}$ \mu\nu $\end{document}SSM) combined with the updated experimental average. The \begin{document}$ \mu\nu $\end{document}SSM can explain the current difference between the experimental measurement and the SM theoretical prediction for the muon anomalous MDM, constrained by the 125 GeV Higgs boson mass and decays, the rare decay \begin{document}$ \bar{B}\rightarrow X_s\gamma $\end{document}, and so on. We also investigate the anomalous MDM of the electron and tau lepton, \begin{document}$ a_e=(g_e-2)/2 $\end{document} and \begin{document}$ a_\tau=(g_\tau-2)/2 $\end{document}, at the two-loop level in the \begin{document}$ \mu\nu $\end{document}SSM. In addition, the decaying of the 125 GeV Higgs boson into a pair of charged leptons in the \begin{document}$ \mu\nu $\end{document}SSM is analyzed."> Muon anomalous magnetic dipole moment in the <i>μ</i><i>ν</i>SSM -
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