Implications of the new CDF II W -boson mass on two-Higgs-doublet models

We present the implications of the recent measurement of W boson at CDF II on the two-Higgs-doublet model (2HDM). In the analysis, we impose theoretical bounds such as vacuum stability and perturbative unitarity, and several experimental constraints. In addition, we take into account the measurement of sin2θW(mZ)MS¯ on top of the CDF W-boson mass to investigate how the S and T parameters are determined. We explore two possible scenarios depending on whether the Higgs boson observed at the LHC is the lighter or heavier of CP-even neutral Higgs bosons for 2HDM type I and II. Using the results, we show how the parameter space is constrained, and compare it with the one based on the PDG average of mW. Furthermore, we explore phenomenological consequences of electroweak precision observables that can be affected by mW within the predictions of the 2HDM, and the reduction in parameter space expected from future measurements at the Future Circular Lepton Collider.