\begin{document}$ 7\sigma $\end{document} level. We investigate two simple extensions of the standard model with an extra \begin{document}$ U(1) $\end{document} dark sector. One is the \begin{document}$ U(1)_x $\end{document} extension, where the \begin{document}$ U(1)_x $\end{document} gauge field mixes with the standard model through gauge kinetic terms. The other is a general \begin{document}$ U(1)_{\mathbf{A} Y+\mathbf{B} q} $\end{document} extension of the standard model. Fitting various experimental constraints, we find that the \begin{document}$ U(1)_x $\end{document}extension with only kinetic mixing can enhance the W boson mass by 10 MeV at most. The\begin{document}$ U(1)_{\mathbf{A} Y+\mathbf{B} q} $\end{document}extension can easily generate a 77 MeV enhancement of the W boson mass and also offer a viable dark matter candidate with a mass ranging from several hundred GeV to TeV, which may be detected by future dark matter direct detection experiments with improved sensitivities."> Explaining the <i>W</i> boson mass anomaly and dark matter with a <i>U</i>(1) dark sector -
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