Higgs boson decays h→MZ in the TNMSSM

We study the SM-like Higgs boson decays h→MZ in the triplet extended NMSSM(TNMSSM),where M is a vector meson(ρ,ω,φ,J/ψ,Υ).Compared to the minimal supersymmetric standard model(MSSM),the TNMSSM includes two new SU(2) triplets with hypercharge ±1 and an SM gauge singlet,which are coupled to each other.The indirect contributions to the h→MZ decays are produced from the effective hyZ vertex,and they are more important than the direct contributions.The results of this work could encourage a detection on h→Zγ at the future high energy colliders for exploring new physics beyond the SM.