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

Abstract

We systematically investigate the embedding of U(1)_X Froggatt-Nielsen models in (four-dimensional) 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.

arXiv commentFinal version, references added, minor corrections; LaTeX, 46 pages

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• Canonical normalisation and Yukawa matrices
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• Bounds on R-parity Violation from Resonant Slepton Production at the LHC
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• Dirac neutrinos and anomaly-free discrete gauge symmetries
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• Updating Bounds on $R$-Parity Violating Supersymmetry from Meson Oscillation Data
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