The rare decays $h^0\to Z\gamma ,VZ$ in the NB-LSSM

Abstract

This study investigates the Higgs rare decays $h^0\to Z\gamma ,VZ$ within the next to minimum B-L supersymmetric model(NB-LSSM), where $V$ represents a vector meson $(\varphi ,J/\psi ,{\rm Y}(1S),{\rho }^0,\omega )$. Compared to the minimal supersymmetric standard model(MSSM), the NB-LSSM introduces three singlet Higgs superfields, which mix with the Higgs doublets and affect the lightest Higgs boson mass and the Higgs couplings. The loop-induced contributions resulting from the effective $h^{0}Z\gamma$ coupling can produce new physics(NP) contributions, thereby affecting the theoretical predictions of rare decays significantly through the new parameters such as $\kappa$, $\lambda$, ${\lambda }_2\cdot \cdot \cdot$. The results of this work can provide a reference for probing NP beyond standard model(SM).