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.

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

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• Lepton-flavor violation and $(g-2{)}_{\mu }$ in the $\mu \nu$SSM
• Muon conversion to electron in nuclei within the $\mu \nu$SSM with a 125 GeV Higgs
• Reconstructing Neutrino Properties from Collider Experiments in a Higgs Triplet Neutrino Mass Model
• Spontaneous R-parity violation in the minimal gauged $(B-L)$ supersymmetry with a $125\mathrm{GeV}$ Higgs
• Neutrino Physics from Charged Higgs and Slepton Associated Production in AMSB
• Probing R-parity violating models of neutrino mass at the Tevatron via top Squark decays
• Neutrino masses in the minimal gauged $(B-L)$ supersymmetry
• Lepton-flavor violation and two loop electroweak corrections to $(g-2{)}_{\mu }$ in the triplets