Neutrino Oscillations and R-parity Violating Supersymmetry

Abstract

Using the neutrino oscillations and neutrinoless double beta decay experimental data we reconstructed an upper limit for the three generation neutrino mass matrix. We compared this matrix with the predictions of the minimal supersymmetric(SUSY) model with R-parity violation(\rp) and extracted stringent limits on trilinear \rp coupling constants $\lambda_{i33}, \lambda'_{i33}$. Introducing an additional $U(1)_X$ flavor symmetry which had been successful in explaining to relate various \rp parameters. In this model we found a unique scenario for the neutrino masses and the \rp couplings compatible with the neutrino oscillation data. Then we derived predictions for certain experimentally interesting observables.