Higgs boson decay $h^0\to m_{V}Z$ in the BLMSSM

In the framework of BLMSSM, the Higgs decays $h^0\to Z\gamma$ and $h^0\to m_{V}Z$ are studied where $m_V$ represents a vector meson($\rho, \omega, \phi, J/\psi, \Upsilon$etc\mathrm{.})\mathrm{.}CorrectionstotheCP-evenandCP-odd$h^0\gamma Z$ couplings occur via loop diagrams where new particles are involved. Actually both of them obviously influence the decay rates of $h^0\to Z\gamma$ and $h^0\to m_{V}Z$. Concretely, our obtained numerical result shows that the decay width of $h^0\to Z\gamma$ can be 1.3 times larger than the prediction of the Standard Model(SM). For the light mesons ($\rho ,\omega$), the corrections to $h^0\to m_{V}Z$ are within $15\mathrm{\%}\sim 20\mathrm{\%}$ still consistent with the SM results. The results of this work would encourage a detection on $h^0\to Z\gamma$ at LHC for exploring new physics beyond SM.