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arXiv 1507.06221hep-phhep-ex
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用Dirac相和Majorana相检验中微子的最小$S_4$模型

Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases

Yusuke Shimizu, Morimitsu Tanimoto

摘要:

在$S_4$味对称性框架下提出了两个新的简单轻子味模型。中微子的质量矩阵由两个复参数给出,导致了质量等级的颠倒。荷电轻子质量矩阵具有1-2轻子味混合,这给出了非零反应堆角$θ_{13}$。这些模型预测的狄拉克阶段和马约拉纳阶段,这是在未来的实验测试。预测的无中微子双β衰变的有效中微子质量的大小分别在$32~\text{meV}\lesssim |m_{ee}|\lesssim 49~\text{meV}$和$34~\text{meV}\lesssim |m_{ee}|\lesssim 59~\text{meV}$区域。这些数值接近即将进行的实验的预期范围。中微子质量的总和在两个模型中分别被预测为$0.0952~\text{eV}\lesssim \sum m_i\lesssim 0.101~\text{eV}$和$0.150~\text{eV}\lesssim \sum m_i\lesssim 0.160~\text{eV}$。

英文摘要:

We propose two new simple lepton flavor models in the framework of the $S_4$ flavor symmetry. The neutrino mass matrices, which are given by two complex parameters, lead to the inverted mass hierarchy. The charged lepton mass matrix has the 1-2 lepton flavor mixing, which gives the non-vanishing reactor angle $θ_{13}$. These models predict the Dirac phase and the Majorana phases, which are testable in the future experiments. The predicted magnitudes of the effective neutrino mass for the neutrino-less double beta decay are in the regions as $32~\text{meV}\lesssim |m_{ee}|\lesssim 49~\text{meV}$ and $34~\text{meV}\lesssim |m_{ee}|\lesssim 59~\text{meV}$, respectively. These values are close to the expected reaches of the coming experiments. The total sum of the neutrino masses are predicted in both models as $0.0952~\text{eV}\lesssim \sum m_i\lesssim 0.101~\text{eV}$ and $0.150~\text{eV}\lesssim \sum m_i\lesssim 0.160~\text{eV}$, respectively.

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