\begin{document}$ M_W=80.4335\pm0.0094\; \text{GeV} $\end{document}, which deviates from the Standard Model (SM) prediction, \begin{document}$ M_W^{\rm SM}=80.357\pm0.006\; \text{GeV} $\end{document}, by about \begin{document}$ 7\sigma $\end{document}. By contrast, the CMS Collaboration obtained \begin{document}$ M_W=80.3602\pm0.0099\; \text{GeV} $\end{document}, very close to the SM global electroweak fit value of \begin{document}$ \sim80.357\; \text{GeV} $\end{document}. Motivated by this situation, we reassess the W-boson mass within the Lepton-Specific Two Higgs Doublet Model (LS-2HDM). We perform random scans (generated with SARAH 4.13.0 and evaluated with SPheno 4.0.3) and confront the results with up-to-date theoretical and experimental constraints. The scan enforces vacuum stability, perturbative unitarity, and perturbativity; electroweak precision observables via the oblique parameters \begin{document}$ (S,T,U) $\end{document}; LEP bounds on \begin{document}$ H^\pm $\end{document}; rare B-meson decays; lepton flavor universality (LFU) in Z and τ decays; and LHC 13 TeV searches for additional Higgs bosons. Viable points are further tested with HiggsTools (HiggsSignals + HiggsBounds). In the LS-2HDM, if \begin{document}$ h_1 $\end{document} is the SM-like Higgs at \begin{document}$ m_{h_1}\simeq125 $\end{document} GeV with \begin{document}$ |\cos(\beta-\alpha)|\lesssim0.06 $\end{document}, \begin{document}$ 17\lesssim\tan\beta\lesssim39 $\end{document}, \begin{document}$ 144\lesssim m_{h_2}\lesssim414 $\end{document} GeV, and \begin{document}$ 435\lesssim m_{A,H^{\pm}}\lesssim685 $\end{document} GeV, the model reproduces the 2024 CMS W-boson mass within \begin{document}$ 3\sigma $\end{document}. Solutions near the 2022 CDF value, \begin{document}$ M_W=80.4335\pm0.0094\; \text{GeV} $\end{document}, survive; however, after applying all constraints, including HiggsTools, they approach it at best within \begin{document}$ \lesssim2\sigma $\end{document}. Our findings emphasize that the LS-2HDM favors the CMS results consistently with the current experimental results. On the other hand, while one can accommodate also the CDF results in this model theoretically, up-to-date electroweak precision bounds on the oblique parameters \begin{document}$ (S,T,U) $\end{document} together with the SM-like Higgs and LFU constraints exclude these solutions and our results for \begin{document}$ W- $\end{document}boson mass can be only as close as about \begin{document}$ 2\sigma $\end{document} to the CDF results."> Resolving the W boson Mass in the Lepton Specific Two Higgs Doublet Model -
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