Neutrino Oscillations in Supersymmetry without Lepton number conservation and R-parity

Abstract

With the on-shell renormalization scheme, we discuss neutrino masses up to one-loop approximation in the Supersymmetry without lepton number conservation and R-parity. Ii is shown that in this model with experimentally allowed parameters, $Δm^2_{23}, Δm^2_{12}$ and the mixing angles $|\sinθ{23}|,|\sinθ_{12}|$ which are consistent with the present observation values can be produced. We find that small neutrino mass ($\leq$ 1 eV) sets a loose constraint on the R-parity violation parameters in the soft breaking terms.