Abstract
We have considered the ‘neutrino counting’ reaction [Formula: see text]. We restrict to V, A Lorentz structure of weak neutral interaction (WNI), allow many Z bosons to mediate WNI and νi to be different from νj. We derive the expression for differential cross section by allowing the polarizations of e+ and e− but summing over the polarizations of final photons. From the study of differential cross section with polarized and unpolarized beams three different coupling constant combinations can be determined. A definite relation between these observables and the observables in [Formula: see text] scatterings is suggested as a test of single-Z-boson hypothesis. Similarly another test relates observables in [Formula: see text] to those of [Formula: see text] scatterings. By assuming universality a test for presence of nondiagonal neutrino neutral currents (NDνNC’s) is also pointed out. The effects of presence of wrong-handed (anti-) neutrinos on our tests are also discussed. As a by-product, we find a way to determine number of neutrino types, in the case i≠j, assuming universality.
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