On polarization effects in neutrino annihilation of colliding electron-positron beams

We evaluate the differential and total cross sections for the process of annihilation of longitudinally polarized electrons and positrons into neutrino-antineutrino pairs due to the (S,P,T) and (V,A) versions of the weak interaction of neutral currents of neutrinos and electrons. It is shown that taking the polarization of the initial particles into account enables one to distinguish the contributions of the (S,P,T) and (V,A) types of neutral-current coupling. For parallel transverse polarization of е^+ and е^-, only the S and T versions of the interaction contribute; for antiparallel transverse polarization, only the P and T versions. In the (V, A) case with transverse polarization of е^+ and е^- the cross section has azimuthal asymmetry.