Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-09-03
Nucl.Phys.B580:83-98,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pp. LATEX
Scientific paper
10.1016/S0550-3213(00)00143-7
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 ${\cal R}\times {\cal U}(1)$, is presented, where ${\cal R}$ (${\cal U}(1)$) 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.
Shafi Qaisar
Tavartkiladze Zurab
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