95GeV Excesses in the $\mathbb{Z}_3$-symmetric Next-to Minimal Supersymmetric Standard Model

Recent analyses by CMS and ATLAS suggest a deviation in the di-photon channel at approximately 95 GeV, alongside a previously observed excess in $b\bar{b}$ signals at a similar mass by LEP, potentially hinting at a new scalar particle. This study explores this possibility within the framework of the well-established $\mathbb{Z}_3$-symmetric Next-to-Minimal Supersymmetric Standard Model. A comprehensive parameter scan was conducted, integrating constraints from dark matter relic density, direct detection experiments, and the properties of the observed 125 GeV Higgs boson. The results demonstrate that the model can accommodate the observed excesses with a singlet-dominated CP-even Higgs boson near 95 GeV. The model accurately predicts signal strengths of the di-photon and $b\bar{b}$ channels at a level of $1\sigma$. Furthermore, it accounts for the measured dark matter relic abundance through Bino-dominated neutralinos co-annihilation with Wino-like electroweakinos, all while remaining consistent with existing LHC constraints. These findings pave the way for future validation at the high-luminosity LHC and linear colliders, which may offer crucial tests of the model's predictions.