Non-abelian flavour symmetry and R-parity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.57.3944

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.

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