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arXiv 1205.0761hep-ph
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大亚湾核试验后的轻子味混合模式和中微子质量矩阵

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

Shun Zhou

摘要:

大亚湾合作组最近在nu_e-bar -> nu_e-bar消失通道中观测到中微子振荡,表明在5.2 sigma置信水平下,sin ^2 θ_13 = 0.024 +(-)0.005(1 sigma)和θ_13 = 0已经被排除。目前,我们已经测量了三个中微子混合角(θ_12 ~ 34^ \circ,θ_23 ~ 45^ \circ和θ_13 ~ 9^ \circ),并达到了很好的精度。受这些实验结果的启发,我们提出了一种新的轻子味混合模式,它预言了sin ^2 θ_23 = 12,sin ^2 θ_12 =(2+ \sqrt{3})/(10+ \sqrt{3})~ 0.318和sin ^2 θ_13 =(2- \sqrt{3})/12 ~ 0.022,以及最大CP破坏相δ = 90^ \circ。Jarlskog不变量{ \cal J} = \sqrt{6} /72 ~ 3.4%的轻子CP破坏有望在未来的长基线中微子振荡实验中得到测量。此外,我们指出,一个广义版本的μ-τ对称性可能存在于中微子部门,可以引起上述混合模式。讨论了具有离散味对称性的跷跷板模型的可能实现。

英文摘要:

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.

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