sections for $Q^2<200$GeV$^2$ were found to be insensitive to $\sin^2\theta_W$. The PDF parameters were fixed to the values determined by the ZEUS-EW-S fit. The resulting on-shell $\sin^2\theta_W$ values and the corresponding [@run-sin-pred2] values of $\sin^2\theta_W^{\rm eff}$ are listed in Table \[tab:run-sin\] together with the values for all data. Also listed are the associated scales. Uncertainties are given for the fits themselves and due to the PDF parameters, model and parameterisation uncertainties added in quadrature, as determined by ZEUS-EW-S. The corresponding effective $\sin^2\theta_W$ values are shown together with the result from ZEUS-EW-S in Fig. \[fig:run-sin\]. Also shown are measurements from LEP+SLC [@ZLEPSLC], D0 [@ZD0], CDF [@sinCDF], CMS [@sinCMS], ATLAS [@sinATLAS] and LHCb [@sinLHCb], all at the scale of the $Z$ mass, as well as a fixed-target neutrino–nucleon measurement from NuTeV [@NuTeV], a fixed target electron–electron measurement from E158 [@sinE158] and the result from atomic caesium [@sin1Cs; @sin2Cs; @sin3Cs] at lower scales. This is the first time that data from a single experimental configuration were used to determine $\sin^2\theta_W$ at different scales. The result is compatible with the predicted running of the effective $\sin^2\theta_W$.

The mass of the $W$ boson was determined by a fit called ZEUS-EW-W with 13 free PDF parameters 