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arXiv 1006.3307hep-ph
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双微扰$S_3$中微子与$s_{13}$混合参数

Doubly perturbed $S_3$ neutrinos and the $s_{13}$ mixing parameter

Renata Jora, Joseph Schechter, M. Naeem Shahid

摘要:

我们进一步研究了三个Majorana中微子的质量和混合矩阵的预测模型。在零阶,模型产生简并中微子和广义的“tribim极大”混合矩阵。在第一阶的质量分裂被纳入和tribimalmaximum混合矩阵出现非常小的修正,但与零值的参数$s_{13}$。在本文件中,一个不同的,假设较弱,扰动,它给出了一个非零值的$s_{13}$和其他数量的进一步修正。这些修正的工作,并讨论其后果的简化假设下,传统的CP破坏阶段消失。它表明,现有的测量参数$s_{23}$提供强界$s_{13}$在这个模型中。

英文摘要:

We further study a predictive model for the masses and mixing matrix of three Majorana neutrinos. At zeroth order the model yielded degenerate neutrinos and a generalized ``tribimaximal" mixing matrix. At first order the mass splitting was incorporated and the tribimaximal mixing matrix emerged with very small corrections but with a zero value for the parameter $s_{13}$. In the present paper a different, assumed weaker, perturbation is included which gives a non zero value for $s_{13}$ and further corrections to other quantities. These corrections are worked out and their consequences discussed under the simplifying assumption that the conventional CP violation phase vanishes. It is shown that the existing measurements of the parameter $s_{23}$ provide strong bounds on $s_{13}$ in this model.

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