Non-abelian flavour symmetry and R-parity

Abstract

If R-parity violation turns out to be a true aspect of Nature, a speculation about its possible origin could add a new dimension to the supersymmetric flavour problem. It has been shown in the past by Barbieri, Hall and their collaborators that the small breaking parameters of an approximate non-abelian flavour symmetry could govern the light quark and lepton masses and at the same time could account for the near degeneracies of squarks and sleptons. A possible connection of the above feature to the natural suppressions of R-parity-violating couplings has been investigated here. With some modifications of the approximate flavour symmetry, a supersymmetric theory without R-parity has been motivated that has testable experimental signatures.

Latex, 7 pages, no figures. In revised version, minor cosmetic changes, typos corrected. To appear in Phys Rev D

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• Consequences of a U(2) Flavour Symmetry
• Comparison of ZEUS Data with Standard Model Predictions for e^+ p -> e^+ X Scattering at High x and Q^2
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• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Lepton Flavour Violation In Supersymmetric Models with Trilinear R-parity Violation
• R-parity-violating trilinear couplings and recent neutrino data
• Revisiting R-parity violating interactions as an explanation of the B-physics anomalies
• Radiative gravitino decays from R-parity violation
• B-physics anomalies: The bridge between R-parity violating Supersymmetry and flavoured Dark Matter
• Gravitino Dark Matter and the Flavour Structure of R-violating Operators
• R-Parity Violation and Non-Abelian Discrete Family Symmetry
• Bilinear R-parity violation with flavor symmetry
• Neutrino masses from R-parity violation with a $Z_3$ symmetry
• R-Parity violating flavor symmetries, recent neutrino data and absolute neutrino mass scale
• Indian Contributions to LHC Theory