Neutral current in the Weinberg-Salam gauge model and elastic scattering of neutrinos and antineutrinos on nucleons

We study the elastic scattering of neutrinos and antineutrinos on nucleons in the Weinberg-Salam model of the neutral current. In particular, we incorporate into our calculation the experimental cuts relevant to the two recent BNL experiments and also fold in the BNL ν and ν spectra. Sensitivity of the calculation to the changes in the axial-vector-meson mass and the Weinberg angle are explored. We conclude that the Weinberg-Salam-model prediction for ${R}ₑₗ={〈{σ}({{ν}}_{{μ}}+p{→}{{ν}}_{{μ}}+p)〉}{〈{σ}({{ν}}_{{μ}}+n{→}{{μ}}^{{-}}+p)〉}$ and the differential-cross-section measurements are not inconsistent with the data provided the uncertainty in the mass of the axial-vector meson ${M}A$ is taken into account. Similar predictions are given for ${{ν}}N$ scattering.