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• W1990344218 abstract "The neutrino oscillation data are in very good agreement with the tribimaximal mixing pattern: ${sin}^{2}{ensuremath{theta}}_{23}=1/2$, ${sin}^{2}{ensuremath{theta}}_{12}=1/3$, and ${sin}^{2}{ensuremath{theta}}_{13}=0$. Attempts to generate this pattern based on finite family symmetry groups typically assume that the family symmetry is broken into different subgroups in the charged-lepton and the neutrino mass matrices. This leads to a technical problem, where the cross couplings between the Higgs fields responsible for the two symmetry breaking chains force their vacuum expectation values to align, upsetting the desired breaking pattern. Here, we present a class of models based on the semidirect product group $({S}_{3}{)}^{4}ensuremath{rtimes}{A}_{4}$, where the lepton families belong to representations which are not faithful. In effect, the Higgs sector knows about the full symmetry while the lepton sector knows only about the ${A}_{4}$ factor group. This can solve the alignment problem without altering the desired properties of the family symmetry. Inclusion of quarks into the framework is straightforward and leads to small and arbitrary Cabibbo-Kobayashi-Maskawa mixing angles. Supersymmetry is not essential for our proposal, but the model presented is easily supersymmetrized, in which case the same family symmetry solves the supersymmetry flavor problem." @default.
• W1990344218 created "2016-06-24" @default.
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• W1990344218 date "2010-10-27" @default.
• W1990344218 modified "2023-09-25" @default.
• W1990344218 title "Semidirect product groups, vacuum alignment, and tribimaximal neutrino mixing" @default.
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• W1990344218 doi "https://doi.org/10.1103/physrevd.82.073014" @default.
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