Octahedral symmetry with geometrical breaking: New prediction for neutrino mixing angle theta(13) and CP violation
- He, Hong-Jian
- Xu, Xun-Jie
DOIAbstract
We propose octahedral group O-h as the family symmetry of the neutrino-lepton sector. We find that O-h contains subgroups Z(2)(mu tau) circle times Z(2)(s) and Z(4)(l) for realizing the bimaximal (BM) mixings theta(23) = theta(12) = 45 degrees, where Z(2)(mu tau) circle times Z(2)(s) and Z(4)(l) serve as the residual symmetries of neutrinos and charged leptons, respectively. We present geometric interpretations of BM mixing in the octahedron, and construct natural geometrical breaking of Z(4)(l), leading to nontrivial deviations from the BM mixings. Our theory makes truly simple predictions of a relatively large reactor angle, theta(13) similar or equal to 45 degrees - theta(12) = 7.5 degrees-13.7 degrees(3 sigma), the nearly maximal atmosp...
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