Delta(54) Flavor Model for Leptons and Sleptons

Abstract

We have studied $\Delta (54)\times Z_2$ flavor model for leptons and sleptons. The tri-bimaximal mixing can be reproduced for arbitrary neutrino masses if vacuum alignments of scalar fields are guaranteed. The deviation from the tri-bimaximal mixing of leptons is predicted. The predicted upper bound for $\sin {\theta }_{13}$ is 0.06. The magnitude of $\sin {\theta }_{23}$ could be deviated from the maximal mixing considerably, but $\sin {\theta }_{12}$ is hardly deviated from the tri-maximal mixing. We have also studied SUSY breaking terms in the slepton sector. Three families of left-handed and right-handed slepton masses are degenerate. Even although flavor symmetry breaking effects are taken into account, our model leads to smaller values of flavor changing neutral currents than the present experimental bounds.

22 pages, 4 figures, with minor modifications, figures are revised and discussions are added

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• Broken S3 Symmetry in the Neutrino Mass Matrix and Non-Zero theta_{13}
• Flavor structure from magnetic fluxes and non-Abelian Wilson lines
• Variations on the Supersymmetric Q6 Model of Flavor
• Flavour violation in a supersymmetric T' model
• Resonant Dirac leptogenesis on throats
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• Delta(54) flavor phenomenology and strings
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• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Towards Minimal S4 Lepton Flavor Model
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• GIMPs from Extra Dimensions
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Neutrino and Charged Lepton Flavour Today
• Learning about flavour structure from tau to ell gamma and mu to e gamma?
• Gauge extension of non-Abelian discrete flavor symmetry
• Neutrino Masses and Mixings from Continuous Symmetries