Reconciling neutrino anomalies in a simple four-neutrino scheme with R-parity violation

Abstract

We propose a simple extension of the MSSM based on extra compact dimensions which includes an $SU(2)\otimes U(1)$ singlet superfield. The fermion present in this superfield is the sterile neutrino, which combines with one linear combination of ${\nu }_e-{\nu }_{\mu }-{\nu }_{\tau }$ to form a Dirac pair whose mass accounts for the LSND anomaly. Its small mass can be ascribed to a volume suppression factor associated with extra compact dimensions. On the other hand the sterile neutrino scalar partner can trigger the spontaneous violation of R-parity, thereby inducing the necessary mass splittings to fit also the solar and atmospheric neutrino data. Thus the model can explain all neutrino oscillation data. It leads to four predictions for the neutrino oscillation parameters and implies that the atmospheric neutrino problem must include at least some ${\nu }_{\mu }\to {\nu }_s$ oscillations, which will be testable in the near future. Moreover it also predicts that the lightest supersymmetric particle (LSP) decays visibly via lepton number violating modes, which could be searched for at present and future accelerators.

arXiv comment15 pages, requires axodraw.sty and elsart.cls

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• Non-Standard Interactions: Atmospheric versus Neutrino Factory Experiments
• Statistical Analysis of Different Muon-antineutrino->Electron-antineutrino Searches
• Update on neutrino mixing in the early Universe
• Mirror model for sterile neutrinos
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• Heavy Sterile Neutrinos in Tau Decays and the MiniBooNE Anomaly
• Light Sterile Neutrino from extra dimensions and Four-Neutrino Solutions to Neutrino Anomalies
• Broken R-parity, stop decays, and neutrino physics
• Neutrino Anomalies in Gauge Mediated Model with Trilinear R violation
• Neutrino Anomalies and Quasi-Dirac neutrinos