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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.63.073006

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, $\Delta m^2_{23}, \Delta m^2_{12}$ 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 ($\leq$ 1 eV) sets a loose constraint on the R-parity violation parameters in the soft breaking terms.

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