R-Parity Violation: Origin of $\mu$-Term and Other Consequences

Abstract

We propose a new mechanism in which the generation of the supersymmetric $\mu$-term as well charged lepton masses is closely tied to R-parity violation involving heavy vector-like families . A realistic example based on $SU(3{)}_c\times SU(2{)}_L\times U(1{)}_Y$, supplemented by the symmetry $\mathcal{R}\times \mathcal{U}(1)$, is presented, where $\mathcal{R}$ ($\mathcal{U}(1)$) denotes a continuous $R$ (flavor) symmetry. In addition to the $\mu$-term, the charged fermion mass hierarchies and mixings, as well as baryon number conservation are also nicely explained. Bilinear R-parity violating coupling involving the first generation gives rise to neutrino mass relevant for the small angle ${\nu }_e-{\nu }_s$ MSW oscillations, where ${\nu }_s$ denotes a sterile state. The atmospheric neutrino puzzle is resolved via maximal mixing angle ${\nu }_{\mu }-{\nu }_{\tau }$ oscillations. The decay of the lightest neutralino (LSP) and leptogenesis are briefly discussed.

20 pp. LATEX

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Cited by in corpus (8)

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• Flavor anomalies at the LHC and the R-parity violating supersymmetric model extended with vectorlike particles
• 5D SUSY Orbifold SU(6) GUT and Pseudo-Goldstone Higgs Doublets
• Neutrino Democracy And Other Phenomenology From 5D SO(10)
• Phenomenological Aspects of R-parity Violating Supersymmetry with A Vector-like Extra Generation
• Unification of Gauge Couplings and the Higgs Mass in Vector-Like Particle Theories Extended into NMSSM