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Quark flavour conserving violations of the lepton number
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We study supersymmetric models of lepton and baryon number violation based on an abelian family gauge group. Due to possible lepton-Higgs mixing, the lepton violating couplings are related to the Yukawa couplings and may be generated by them even if they were absent in the original theory. Such terms may be dominant and are not given by the naive family charge counting rules. This enhancement mechanism can provide an alignment between lepton-number violating terms and Yukawa couplings: as a result they conserve quark flavour. A natural way of suppressing baryon number violation in this class of models is also proposed.
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Markov Chain Monte Carlo analysis to probe trilinear $R$-parity violating SUSY scenarios and possible LHC signatures
A Bayesian MCMC fit to neutrino, Higgs, and flavor data constrains the trilinear R-parity-violating couplings λ_i33 and λ'_i33 to at most ~10^-4, with tanβ below 15, in bino- and stop-LSP supersymmetric scenarios.
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