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 anti 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/sub el/ = < sigma (ν/sub μ/ + p → ν/sub μ/ + p) > / < sigma (ν/sub μ/ + n → anti 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/sub A/ is taken into account. Similar predictions are given for anti νN scattering