\begin{document}$ e^+e^- $\end{document} collider could run at the Z-pole to perform important electroweak (EW) precision measurements, but such a run may not be viable for a future muon collider. However, this can be compensated for by measuring other EW processes utilizing the high energy and large luminosity of the muon collider. In this paper, we consider the measurements of the vector boson fusion processes of \begin{document}$ WW/WZ/W\gamma $\end{document} to a pair of fermions (along with a \begin{document}$ \nu_{\mu}\bar{\nu}_{\mu} $\end{document} or \begin{document}$ \nu_{\mu}\mu^+/\bar{\nu}_{\mu}\mu^- $\end{document} pair) at a high-energy muon collider and study their potential for probing EW observables. We consider two run scenarios for the muon collider with center-of-mass energies of 10 and 30 TeV, respectively, and focus on the processes involving \begin{document}$ f=b,c,\tau $\end{document} and the dimension-6 operators that directly modify the corresponding fermions coupling to the \begin{document}$ Z/W $\end{document} bosons. The invariant mass distribution of the \begin{document}$ f\bar{f} $\end{document} pair helps to separate the events from the \begin{document}$ Z/W $\end{document} and high-energy resonances, whereas the polar angle of the outing fermion provides additional information. Through a chi-squared analysis on the binned distributions and combining the information from the WW and \begin{document}$ WZ/W\gamma $\end{document} fusion processes, all relevant Wilson coefficients can be constrained simultaneously. The precision surpasses the current EW measurement constraints and is even competitive with future \begin{document}$ e^+e^- $\end{document} colliders. Our analysis can be included in a more complete framework that is required to fully determine the potential of muon colliders in EW precision measurements."> Probing <i>Z</i>/<i>W</i> pole physics at high-energy muon colliders via vector-boson-fusion processes -
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