1203.2908 (Hong-Jian He et al.)

Octahedral Symmetry with Geometrical Breaking: New Prediction for
Neutrino Mixing Angle theta_{13} and CP Violation    [PDF]

Hong-Jian He, Xun-Jie Xu

We propose octahedral group O_h as the family symmetry of neutrino-lepton sector, with subgroups Z_2(mu-tau) x Z_2(solar) and Z_4^l as the residual symmetries of neutrinos and charged leptons, respectively. We find that O_h is a minimal group which contains the subgroups Z_2(mu-tau) x Z_2(solar) and Z_4^l for realizing the bimaximal mixings theta_{23} = theta_{12} = 45^o. We present geometric interpretations of O_h and its residual symmetries, and further construct a natural geometrical breaking of Z_4^l. 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.

View original: http://arxiv.org/abs/1203.2908