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

TL;DR

This paper introduces a new mechanism linking the origin of the $mbda$-term and charged lepton masses to R-parity violation with heavy vector-like families, explaining fermion hierarchies, neutrino oscillations, and baryon number conservation.

Contribution

It presents a novel model connecting the $mbda$-term, fermion masses, and R-parity violation using a specific symmetry framework, addressing neutrino oscillations and baryon number conservation.

Findings

Explains the origin of the $mbda$-term and charged lepton masses.

Accounts for neutrino oscillations, including small angle MSW and atmospheric neutrinos.

Ensures baryon number conservation within the model.

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 ${\cal R}\times {\cal U}(1)$, 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.