Abstract
Because both W-mass and muon can be affected by mass splittings among extra Higgs bosons in a two-Higgs-doublet model, we take a model with μ-τ lepton flavor violation interactions to examine the two anomalies reported by CDF II and FNAL. We obtain the following observations: (i) Combined with theoretical constraints, the CDF W-mass measurement disfavors H or A degenerating in mass with but allows H and A to degenerate. The mass splitting between and must be larger than 10 GeV. and are favored to be smaller than 650 GeV for GeV and allowed to have larger values with increasing . (ii) After imposing other relevant experimental constraints, there are parameter spaces that simultaneously satisfy (at the level) the CDF W-mass, FNAL muon , and data on lepton universality in τ decays; however, the mass splittings among extra Higgs bosons are strictly constrained.
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