Supersymmetric Froggatt-Nielsen Models with Baryon- and Lepton-Number Violation

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Abstract
We systematically investigate the embedding of U(1)_X Froggatt-Nielsen models in local supersymmetry. We restrict ourselves to models with a single flavon field. We do not impose a discrete symmetry by hand, e.g. R-parity, baryon-parity or lepton-parity. Thus we determine the order of magnitude of the baryon- and/or lepton violating coupling constants through the Froggatt-Nielsen mechanism. We then scrutinize whether the predicted coupling constants are in accord with weak or GUT scale constraints. Many models turn out to be incompatible.

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