\begin{document}$ g-2 $\end{document} can be affected by mass splittings among extra Higgs bosons \begin{document}$ (H,\; A,\; H^\pm) $\end{document} in a two-Higgs-doublet model, we take a model with μ-τ lepton flavor violation interactions to examine the two anomalies reported by CDF II and FNAL. We obtain the following observations: (i) Combined with theoretical constraints, the CDF W-mass measurement disfavors H or A degenerating in mass with \begin{document}$ H^\pm $\end{document} but allows H and A to degenerate. The mass splitting between \begin{document}$ H^\pm $\end{document} and \begin{document}$ H/A $\end{document} must be larger than 10 GeV. \begin{document}$ m_{H^\pm} $\end{document} and \begin{document}$ m_{A} $\end{document} are favored to be smaller than 650 GeV for \begin{document}$ m_H<120 $\end{document} GeV and allowed to have larger values with increasing \begin{document}$ m_H $\end{document} . (ii) After imposing other relevant experimental constraints, there are parameter spaces that simultaneously satisfy (at the \begin{document}$ 2\sigma $\end{document} level) the CDF W-mass, FNAL muon \begin{document}$ g-2 $\end{document}, and data on lepton universality in τ decays; however, the mass splittings among extra Higgs bosons are strictly constrained."> Joint explanation of <i>W</i>-mass and muon <i>g–</i>2 in the 2HDM -
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