W boson mass shift, dark matter, and (g−2)ℓ in a scotogenic-Zee model

Abstract

We present a singly charged scalar extension of the scotogenic model, the scotogenic-Zee model, which resolves the recently reported deviations in the $W$ boson mass as well as lepton $g\ensuremath{-}2$. The model admits a scalar or a fermionic dark matter while realizing naturally small radiative neutrino masses. The mass splitting of $\ensuremath{\sim}100\text{ }\text{ }\mathrm{GeV}$, which is required by the shift in $W$ boson mass, among the inert doublet fields can be evaded by its mixing with the singlet scalar, which is also key to resolving the $(g\ensuremath{-}2{)}_{\ensuremath{\ell}}$ anomaly within $1\ensuremath{\sigma}$. We establish the consistency of this framework with dark matter relic abundance while satisfying constraints from charged lepton flavor violation, direct detection, and collider bounds. The model gives predictions for the lepton flavor violating $\ensuremath{\tau}\ensuremath{\rightarrow}\ensuremath{\ell}\ensuremath{\gamma}$ processes that will be testable in upcoming experiments.