R-parity violation: origin of μ-term and other consequences Original Research Article

We propose a new mechanism in which the generation of the supersymmetric μ-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×SU(2)L×U(1)Y, supplemented by the symmetry R×U(1), is presented, where R (U(1)) denotes a continuous R (flavor) symmetry. In addition to the μ-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 νe−νs MSW oscillations, where νs denotes a sterile state. The atmospheric neutrino puzzle is resolved via maximal mixing angle νμ−ντ oscillations. The decay of the lightest neutralino (LSP) and leptogenesis are briefly discussed.