LHC signatures of neutrino mass generation through R-parity violation
We consider a model of neutrino mass based on R-parity violating (RPV) supersymmetry, with three $μ_i$, relevant for bilinear RPV terms, and three $λ'_{ijk}$, relevant for the trilinear terms. The present neutrino data, after a precise determination of the mixing angle $θ_{13}$, severely constrain such models. We make a thorough study of one such class of models that may have interesting signatures at the upgraded LHC. In this class of models, the relevant trilinear couplings are of the form $λ'_{i33}$, so if the lighter stop squark $\tilde{t}_1$ is the lightest supersymmetric particle (LSP), it will decay only through these couplings, giving rise to events with isolated hard leptons and jets. Even when $\tilde{t}_1$ is the next-to-LSP (NLSP), it can decay via the tiny $λ'$ couplings allowed by the neutrino data, although it may face stiff competition from some R-parity conserving decay modes. Using a simple Pythia based simulation, we find that in both the cases the signal consisting of a pair of oppositely charged leptons ($ee$, $μμ$ or $e μ$) plus jets may be observable at the upgraded LHC experiments for a reasonable range of the $\tilde{t}_1$ mass.