Lightest Higgs boson decays $hrightarrow MZ$ in the $mu$ from $ u$ supersymmetric standard model

We study the lightest Higgs boson decays $hrightarrow MZ$ in the framework of the $mu$ from $ u$ supersymmetric standard model ($mu u$SSM), where $M$ is a vector meson $(rho,omega,phi,J/Psi,Upsilon)$. Compared to the minimal supersymmetric standard model (MSSM), the $mu u$SSM introduces three right-handed neutrino superfields, which lead to the mixing of the Higgs doublets with the sneutrinos. The mixing affects the lightest Higgs boson mass and the Higgs couplings. Compared to the standard model, the $mu u$SSM can give large new physics contributions to the decay width of $hrightarrow MZ$ in suitable parameter space, which may be detected by the HL-LHC or the other future high energy colliders.