Weinberg angle in the neutrino-electron scattering

Abstract

According to my recent analysis, in which the use ofM _z has been found to give a more precise sin² θ _w than the use ofG _F inv _μ e→v _μ e scattering, I make calculations of sin² θ w in this process withM _z input including the full one-loop and all the leading log corrections. The result from the present data of cross-section σ(v _μ e) = (1.55±0.20)x10⁻⁴² E _v andZ boson massM _z =92.6±1.7 GeV is sin² θ _w =0.228±0.016, which is in good agreement with the value 0.227±0.014 derived through the usual method from the data of$v_\mu ,\bar v_\mu e$ and$v_e ,\bar v_e e$ scatterings, and quite consistent with the world-average sin² θ w=0.228±0.004.