Determination ofsin2θWfrom measurements of differential cross sections for muon-neutrino and -antineutrino scattering by electrons

Abstract

Measurements of the combined differential cross sections dσ/dy for ${\nu }_{\mu }$ and ν${¯}_{\mu }$ scattering by electrons yield the value ${\sin }^2$ ${\mathrm{\theta }}_{\mathrm{W}}$=0.195±0.018±0.013. This value, at $Q^2$≃1×${10}^{\mathrm{-}3}$ (GeV/c${)}^2$, is more precise than and in good agreement with our determination from the ratio of the total cross sections for the same reaction. It is consistent with, but lower than, the value determined from deep-inelastic neutrino scattering.