Flavor Violating Lepton Family U(1)λ_λ

preprint2013arXivOpen access

Abstract

The Standard Model is extended minimally with a new flavor-violating family symmetry U(1)λ{\rm U(1)}_λ, which acts only on leptons including the right-handed neutrinos. The model is anomaly free with family-dependent U(1)λ{\rm U(1)}_λ charges, and consistent with the observed neutrino mixing angles. It predicts charged lepton flavor-violating processes mediated by a new gauge boson. Under certain conditions, the smallness of θ13θ_{13} of neutrino mixing can be justified in terms of the muon-to-tau mass ratio, at the same time explaining the electron-to-tau large mass hierarchy.

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