Geometrical Model for Non-Zero theta_13

Abstract

Based on Friedberg and Lee's geometric picture by which the tribimaximal Pontecorvo-Maki-Nakawaga-Sakata leptonic mixing matrix is constructed, namely, corresponding mixing angles correspond to the geometric angles among the sides of a cube. We suggest that the three realistic mixing angles, which slightly deviate from the values determined for the cube, are due to a viable deformation from the perfectly cubic shape. Taking the best-fitted results of ${\theta }_{12}$ and ${\theta }_{23}$ as inputs, we determine the central value of ${\sin }^{2}2{\theta }_{13}$ should be 0.0238, with a relatively large error tolerance; this value lies in the range of measurement precision of the Daya Bay experiment and is consistent with recent results from the T2K Collaboration.

14 pages, 7 figures. Published version in Phys. Rev. D

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• Daya Bay Neutrino Experiment
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• The charged lepton mass matrix and non-zero ${\theta }_{13}$ with TeV scale New Physics
• Tri-Permuting Mixing Matrix and predictions for theta_13
• Bilarge Neutrino Mixing and Abelian Flavor Symmetry
• Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing Angle