Sum rules on neutral current interactions based on a baryon-lepton symmetry model

Sum rules and inequalities are presented for neutrino reactions of neutral current interaction which satisfies baryon-lepton symmetry. According to the symmetry which was first discovered in charged weak current, neutral current with /ΔS/=1 is automatically forbidden as a consequence of muon number conservation in leptonic neutral current. Assumptions on leptonic neutral current are (i) μ-number conservation, (ii) e-μ universality and (iii) the general combination of V and A types. New triangle relations and sum rules are presented for neutrino-electron scattering cross sections. Several inequalities are also derived for cross sections which combine neutrino-electron with inclusive neutrino scattering. (auth.)