Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-03-13
Physics
High Energy Physics
High Energy Physics - Phenomenology
7pp, 7 figs, only minor notational refinements; attached "Note Added" for comparison with the new RENO data in Fig.7, refs add
Scientific paper
We propose octahedral group O_h as the family symmetry of neutrino-lepton sector. We find that O_h is a minimal group which contains subgroups Z_2(mu-tau) x Z_2(solar) and Z_4^l for realizing the bimaximal (BM) mixings theta_{23} = theta_{12} = 45^o, where Z_2(mu-tau) x Z_2(solar) and Z_4^l serve as the residual symmetries of neutrinos and charged leptons, respectively. We present geometric interpretations of O_h, and construct a natural geometrical breaking of Z_4^l, leading to nontrivial deviations from the BM mixings. Our theory makes truly simple new predictions of a relatively large reactor angle, theta_{13} = 45^o - theta_{12} = 7.9^o - 14.0^o (3 sigma), the maximal atmospheric angle theta_{23} = 45^o, and the maximal Dirac CP violation delta_D = +-90^o. These agree well with the current neutrino data, and will be further probed by the on-going and upcoming oscillation experiments.
He Hong-Jian
Xu Xun-Jie
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