Top squark and neutralino decays in a R-parity violating model constrained by neutrino oscillation data

Abstract

In a R-parity violating (RPV) model of neutrino mass with three bilinear couplings ${\mu }_i$ and three trilinear couplings ${\lambda }_{i33}^{\prime }$, where $i$ is the lepton index, we find six generic scenarios each with a distinctive pattern of the trilinear couplings consistent with the oscillation data. These patterns may be reflected in direct RPV decays of the lighter top squark or in the RPV decays of the lightest superparticle, assumed to be the lightest neutralino. Typical signal sizes at the Tevatron RUN II and the LHC have been estimated and the results turn out to be encouraging.

Comments: 20 pages, 4 figures, LaTex,typos corrected and reference added for section 2, a paragraph has been added in the conclusion part