Higgs boson decays $h\to MZ$ in the TNMSSM

We study the SM-like Higgs boson decays $h\to MZ$ in the Triplet extended NMSSM (TNMSSM),where M is a vector meson ($\rho$, $\omega$, $\phi$, $J\mathrm{/}\mathrm{\Psi }$, $\mathrm{{\rm Y}}$). Compared to the minimal supersymmetric standard model (MSSM), the TNMSSM includes two new SU(2) triplets with hypercharge $\pm 1$ and a SM gauge singlet which are coupled to each other. The indirect contributions to the decays $h\to MZ$ are produced from the effective $h\gamma Z$ vertex, and they are more important than the direct contributions. The results of this work would encourage a detection on $h\to Z\gamma$ at the future high energy colliders for exploring new physics beyond the SM.