Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment

Abstract

The Daya Bay Collaboration has recently observed neutrino oscillations in the nu_e-bar -> nu_e-bar disappearance channel, indicating that sin^2 theta_13 = 0.024 +(-) 0.005 (1 sigma) and theta_13 = 0 is already excluded at the 5.2 sigma confidence level. Now three neutrino mixing angles have been measured to a good degree of accuracy (theta_12 ~ 34^\circ, theta_23 ~ 45^\circ and theta_13 ~ 9^\circ). Motivated by these experimental results, we propose a novel lepton flavor mixing pattern, which predicts sin^2 theta_23 = 1/2, sin^2 theta_12 = (2+\sqrt{3})/(10+\sqrt{3}) ~ 0.318 and sin^2 theta_13 = (2-\sqrt{3})/12 ~ 0.022, together with a maximal CP-violating phase delta = 90^\circ. The leptonic CP violation characterized by the Jarlskog invariant {\cal J} = \sqrt{6}/72 ~ 3.4 % is promising to be measured in the future long-baseline neutrino oscillation experiments. Furthermore, we point out that a generalized version of mu-tau symmetry may exist in the neutrino sector and can give rise to the aforementioned mixing pattern. The possible realizations in the seesaw models with discrete flavor symmetries are also discussed.

arXiv comment12 pages

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