Explaining the possible 95 GeV excesses in the B-L symmetric SSM

Motivated by the excesses around 95 GeV observed in the diphoton and $b\bar{b}$ data, this study focuses on investigating these two excesses within the framework of the $B-L$ supersymmetric model (B-LSSM), due to the existence of two light Higgs bosons in the model. Considering the two-loop effective potential corrections, it is found that the B-LSSM is hard to fit the 125 GeV Higgs signal strengths and the two excesses around 95 GeV in the experimental $1\sigma$ intervals, while the model can reproduce them in the experimental $2\sigma$ intervals simultaneously. And considering the two loop effective potential corrections to the squared Higgs mass matrix is important to account for the mixing effects among Higgs sector.