Is the new CDF MW measurement consistent with the two-Higgs doublet model?

Motivated by the recent CDF measurement of the W boson mass, which clearly demonstrates a significant deviation from the prediction of the Standard Model (SM). In the present paper, we study the Two-Higgs Doublet Model (2HDM) contribution to MW and its phenomenological implications in the case where the heavy CP-even H is identified as the observed Higgs boson with a mass of 125 GeV. Taking into account theoretical and current experimental constraints, as well as the new CDF measurement, we demonstrate that the 2HDM parameter space can provide a significant correction which predicts the W mass close to the new CDF MW measurement. It is found that MH±=MA is excluded, and the splitting of the charged Higgs boson with all other states is positive. We also discuss the effects on the effective mixing angle sin2⁡θeff as well as the phenomenological implications on the charged Higgs and CP-odd Higgs boson decays in 2HDM type-I and type-X.