Precise Determination ofsin2θWfrom Measurements of the Differential Cross Sections forνpμ→νpμandν¯pμ→ν¯pμ

This paper describes measurements of the semileptonic weak-neutral-current reactions $\ensuremath{\nu}_{\ensuremath{\mu}}p\ensuremath{\rightarrow}\ensuremath{\nu}_{\ensuremath{\mu}}p$ and $\overline{\ensuremath{\nu}}_{\ensuremath{\mu}}p\ensuremath{\rightarrow}\overline{\ensuremath{\nu}}_{\ensuremath{\mu}}p$ which yield the absolute differential cross sections $\frac{d\ensuremath{\sigma}(\ensuremath{\nu}_{\ensuremath{\mu}}p)}{d{Q}^{2}}$ and $\frac{d\ensuremath{\sigma}(\overline{\ensuremath{\nu}}_{\ensuremath{\mu}}p)}{d{Q}^{2}}$. The weak-neutral-current parameter, ${{sin}^{2}\ensuremath{\theta}}_{\mathrm{W}}$, is determined to be ${{sin}^{2}\ensuremath{\theta}}_{\mathrm{W}}=0.220\ifmmode\pm\else\textpm\fi{}0.016(\mathrm{stat}.)_{\ensuremath{-}0.031}^{+0.023}(\mathrm{syst}.)$.