CDF-II $W$ Boson Mass Anomaly in the Canonical Scotogenic Neutrino-Dark Matter Model

The CDF-II collaboration's recent high-precision measurement of $W$ boson mass indicates new physics contribution(s) beyond the Standard Model. We investigate the possibility of the well-known canonical Scotogenic model, where dark matter particle running in the loop generates neutrino masses, to explain the CDF-II measurement. We show that the doublet scalar carrying a dark parity charge can account for the W boson mass anomaly through oblique S,T,U parameter corrections. For both scalar and fermionic dark matter possibilities, we simultaneously examine the constraints coming from a) neutrino mass, oscillation, neutrinoless double beta decay and lepton flavour violation experiments, b) from dark matter relic density and direct detection experiments c) from the oblique S,T,U parameter values consistent with CDF-II $W$ boson measurement. We show that the canonical Scotogenic model can simultaneously explain all the aforementioned issues.Comment: 27 pages, 11 figures, 2 table