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arxiv: 0811.4683 · v4 · submitted 2008-11-28 · ✦ hep-ph

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Lepton Flavor Model from Delta(54) Symmetry

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classification ✦ hep-ph
keywords thetamassesmixingmodelneutrinodeltaflavorlepton
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We present the lepton flavor model with $\Delta (54)$, which appears typically in heterotic string models on the $T^2/Z_3$ orbifold. Our model reproduces the tri-bimaximal mixing in the parameter region around degenerate neutrino masses or two massless neutrinos. We predict the deviation from the tri-bimaximal mixing by putting the experimental data of neutrino masses in the normal hierarchy of neutrino masses. The upper bound of $\sin^2\theta_{13}$ is 0.01. There is the strong correlation between $\theta_{23}$ and $\theta_{13}$. Unless $\theta_{23}$ is deviated from the maximal mixing considerably, $\theta_{13}$ remains to be tiny.

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