Higgs boson decays $h\to Z\gamma$ and $h\to m_{V}Z$ in the $U(1{)}_X$SSM

Abstract

We present a detailed analysis of the Higgs boson decays $h\to Z\gamma$ and $h\to m_{V}Z$ in the $U(1{)}_X$SSM, with $m_V$ denoting the meson ($\omega ,\rho ,\varphi ,J/\psi ,{\rm Y}$). Using the effective Lagrangian method, we calculate the effective constants $C_{\gamma Z}$ (CP-even) and ${\tilde{C}}_{\gamma Z}$ (CP-odd) for the vertex $h\gamma Z$, which are corrected by the new particle loop diagrams. Numerically, the ratio ${\Gamma }_{U(1{)}_X}(h\to Z\gamma )/{\Gamma }_{SM}(h\to Z\gamma )$ is between $1.02-1.35$. For the vector mesons $\omega ,\rho ,\varphi$ and $J/\psi$, the ratios ${\Gamma }_{U(1{)}_X}(h\to m_{V}Z)/{\Gamma }_{SM}(h\to m_{V}Z)$ are mainly distributed in the range of ($1.01-1.45$). When $m_V$ represents ${\rm Y}$, the larger value of the ratio ${\Gamma }_{U(1{)}_X}(h\to {\rm Y}Z)/{\Gamma }_{SM}(h\to {\rm Y}Z)$ is mostly located in the range of ($1.002-1.30$). This work can provide a reference for specific types of decay processes which can be searched in LHC.