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

Abstract

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 $\sim 95$~GeV signal strength rates in different channels. We found that significant part of the viable space addresses the excess in the channel ${\hat{I}}^3{\hat{I}}^3$, while a tight part can address the excess in both ${\hat{I}}^3{\hat{I}}^3$ 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.

12 pages, 1 table, 4 captioned figures, accepted version to be appear in Physical Review D