Measurement of neutrino-proton and antineutrino-proton elastic scattering

Measurements of the semileptonic weak-neutral-current reactions ${\ensuremath{\nu}}_{\ensuremath{\mu}}$p\ensuremath{\rightarrow}${\ensuremath{\nu}}_{\ensuremath{\mu}}$p and \ensuremath{\nu}${\ifmmode\bar\else\textasciimacron\fi{}}_{\ensuremath{\mu}}$p\ensuremath{\rightarrow}\ensuremath{\nu}${\ifmmode\bar\else\textasciimacron\fi{}}_{\ensuremath{\mu}}$p are presented. The experiment was performed using a 170-metric-ton high-resolution target detector in the BNL wide-band neutrino beam. High-statistics samples yield the absolute differential cross sections d\ensuremath{\sigma}(${\ensuremath{\nu}}_{\ensuremath{\mu}}$p)/${\mathrm{dQ}}^{2}$ and d\ensuremath{\sigma}(\ensuremath{\nu}${\ifmmode\bar\else\textasciimacron\fi{}}_{\ensuremath{\mu}}$p)/${\mathrm{dQ}}^{2}$. A measurement of the axial-vector form factor ${G}_{A}$(${Q}^{2}$) is also presented. The results are in good agreement with the standard model SU(2)\ifmmode\times\else\texttimes\fi{}U(1). The weak-neutral-current parameter ${\mathrm{sin}}^{2}$${\mathrm{theta}}_{\mathrm{W}}$ is determined to be ${\mathrm{sin}}^{2}$${\mathrm{\ensuremath{\theta}}}_{\mathit{W}}$=0.220\ifmmode\pm\else\textpm\fi{}0.016(stat${)}_{\mathrm{\ensuremath{-}}0.031}^{+0.023}$(syst).