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The $m_{\scriptscriptstyle W}-m_{\scriptscriptstyle Z}$ interdependence inthe Standard Model is studied at $O(\alpha^2) $ in the $\overline{MS}$ scheme.The relevant radiative parameters, $\Delta \hat{\alpha} (\mu),\, \Delta\hat{r}_{W},\, \hat{\rho}$ are computed at the full two-loop level augmented byhigher-order QCD contributions and by resummation of reducible contributions.  We obtain $m_{\scriptscriptstyle W} = 80.357 \pm 0.009 \pm 0.003$ GeV wherethe errors refer to the parametric and theoretical uncertainties, respectively.A comparison with the known result in the On-Shell scheme gives a difference of$ \approx 6$ MeV. As a byproduct of our calculation we also obtain the$\overline{MS}$ electromagnetic coupling and the Weinberg angle at the top massscale, $\hat{\alpha} (M_t) = (127.73)^{-1} \pm 0.3$ and$\sin^{2}\!\hat{\theta}_{W} (M_t) = 0.23462 \pm 0.00012$.

The $m_{\scriptscriptstyle W}-m_{\scriptscriptstyle Z}$ interdependence in the Standard Model: a new scrutiny