The scale invariant scotogenic model: CDF-II $W$-boson mass and the 95 GeV excesses

The anomalies observed in the $W$ mass measurements at the CDF-II experiments and the excesses seen around 95~GeV at the Large Hadron Collider (LHC) motivate this work, in which we investigate and constrain the parameter space of the Scale Invariant Scotogenic Model with a Majorana dark matter candidate. The scanned parameters are chosen to be consistent with the dark matter relic density and the observed excesses at $\sim95$~GeV signal strength rates in different channels. We found that significant part of the viable space addresses the excess in the channel $\gamma\gamma$, while a tight part can address the excess in both $\gamma\gamma$ and $b\bar{b}$ channels. Furthermore, the model's viable parameters can be probed in both the LHC and future $e^{+}e^{-}$ colliders for di-Higgs production.