Study the Higgs mass with the effective potential and Higgs decays in the $U(1{)}_X$SSM

As the U(1) extension of the minimal supersymmetric standard model, the $U(1{)}_X$SSM has new super fields such as right-handed neutrinos and three Higgs singlets. In the $U(1{)}_X$SSM, the lightest CP-even Higgs mass $m_{h^0}$ is researched through the Higgs effective potential with one loop corrections. We also calculate the Higgs decays $h^0\to \gamma \gamma$, $h^0\to VV(V=W,Z)$, $h^0\to l\bar{l}Z$ and $h^0\to \nu \bar{\nu }Z$. The obtained results are reasonable, which are in favour of the study of the Higgs characteristic and the phenomenology of the $U(1{)}_X$SSM.