Electroweak dark matter model accounting for the CDF W -mass anomaly

Abstract

Recently, the CDF collaboration reported a new measurement of the $W$ boson mass ${M}_{W}=\phantom{\rule{0ex}{0ex}}80.4335\ifmmode\pm\else\textpm\fi{}0.0094\text{ }\text{ }\mathrm{GeV}$, which shows a $\ensuremath{\sim}7\ensuremath{\sigma}$ deviation from the standard model prediction $80.3545\ifmmode\pm\else\textpm\fi{}0.0057\text{ }\text{ }\mathrm{GeV}$ obtained by the electroweak (EW) global fit. This deviation can be explained by new physics generating moderate EW oblique parameters $S$, $T$, and $U$. In this work, we use the loop corrections induced by some extra EW multiplets to explain the CDF ${M}_{W}$ anomaly. The lightest neutral particle in the multiplets can also serve as a candidate of cold dark matter (DM). We consider two such models, namely singlet-triplet scalar DM and singlet-doublet fermionic DM models, and perform numerical scans to find the parameter points accounting for the ${M}_{W}$ anomaly. The constraints from the correct DM thermal relic density and direct detection are also taken into account. We find the parameter points simultaneously interpreting the ${M}_{W}$ anomaly and satisfying the DM requirements in the former model, but do not find such parameter points in the latter model.