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, $\Delta m_{23}^2,\Delta m_{12}^2$ and the mixing angles $|\sin \theta 23|,|\sin {\theta }_{12}|$ which are consistent with the present observation values can be produced. We find that small neutrino mass ($\le$ 1 eV) sets a loose constraint on the R-parity violation parameters in the soft breaking terms.

Comments: 22 pages, plus one ps figure, accepted for publication in PRD