Super-gravity unification with bilinear R-parity violation

Abstract

Bilinear R-parity violation (BRpV) provides the simplest and most meaningful way to include such effects into the Minimal Supersymmetrical Standard Model (MSSM). It is defined by a quadratic superpotential term $\epsilon LH$ which mixes lepton and Higgs superfields and mimics the effects of models with spontaneous breaking. I review some of its main features and show how large $\epsilon$ values can lead to a small neutrino mass radiatively, without any fine-tuning. I discuss the effect of BRpV on gauge and Yukawa unification, showing how bottom--tau unification can be achieved at any value of $\tan \beta$. However, for very large m $\epsilon$ values the large $\tan \beta$ solution is ruled out.

11 pages, latex, 2 figures with sprocl.sty, invited talk at PASCOS98, Boston

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• Testing neutrino mixing at future collider experiments
• Probing neutrino properties with charged scalar lepton decays
• Charged lepton Flavor Violation in Supersymmetry with Bilinear R-Parity Violation
• Unification of gauge couplings and the tau neutrino mass in Supergravity without R-parity
• Probing neutrino mass with multilepton production at the Tevatron in the simplest R-parity violation model