The $W$ boson mass is measured using proton-proton collision data at $\sqrt{s}=13$ TeV corresponding to an integrated luminosity of 1.7 fb$^{-1}$ recorded during 2016 by the LHCb experiment. With a simultaneous fit muon $q/p_T$ distribution sample $W \to \mu\nu$ decays and $\phi^*$ $Z\to\mu\mu$ determined be \begin{equation*} m_{W} = 80354 \pm 23_{\rm stat} 10_{\rm exp} 17_{\rm theory} 9_{\rm P...