Higgs boson decays with lepton flavor violation in the $B-L$ symmetric SSM

Recently, the ATLAS and CMS Collaborations reported the latest experimental upper limits on the branching ratios of the lepton flavor violating (LFV) 125 GeV Higgs boson decays, $h\rightarrow e\mu$, $h\rightarrow e\tau$, and $h\rightarrow \mu\tau$. In this paper, we mainly investigate the LFV Higgs boson decays $h\rightarrow e\mu$, $h\rightarrow e\tau$, and $h\rightarrow \mu\tau$ in the minimal supersymmetric extension of the Standard Model with local $\emph{B-L}$ gauge symmetry. At the same time, the corresponding constraints from the LFV rare decays $\mu\rightarrow e\gamma$, $\tau\rightarrow e\gamma$, $\tau\rightarrow \mu\gamma$, and muon $(g-2)$ are considered to analyze the numerical results.