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 $\gamma\gamma$, $b\bar b$ and $\tau^+\tau^-$ final states. Furthermore, the model's viable parameters can be probed in both the LHC and future $e^+e^-$ colliders for di-Higgs production.Comment: 8 pages, 1 table, 4 figure