A 95 GeV Higgs Boson in the $U(1)_X$SSM

The CMS and ATLAS Collaborations have recently reported their findings based on the comprehensive run 2 dataset, detailing their searches for a light Higgs boson with a mass of approximately 95 GeV. We investigate the excesses observed in the $\gamma\gamma$ and $b{\bar b}$ data at approximately 95 GeV in the $U(1)_X$ extension of the minimal supersymmetric standard model ($U(1)_X$SSM). Additionally, it also mixes with the SM-like Higgs boson. Research indicates that, in this model, identifying the mixture of the singlet Higgs states as the lightest Higgs boson holds tremendous potential for explaining the excess observed at approximately 95 GeV. In our calculations, we maintain the masses of the lightest and next-to-lightest Higgs bosons at approximately 95 GeV and 125 GeV, respectively. The study finds that the theoretical predictions for the signal strengths $\mu(h_{95})_{\gamma\gamma}$ and $\mu(h_{95})_{b{\bar b}}$ in the $U(1)_X$SSM align well with the excesses observed by CMS.