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arXiv 1502.06508hep-ph
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一般Majorana中微子质量矩阵的Majorana相的评价:分级风味模型的可检验性

Evaluation of the Majorana Phases of a General Majorana Neutrino Mass Matrix: Testability of hierarchical Flavour Models

Rome Samanta, Mainak Chakraborty, Ambar Ghosal

摘要:

本文利用Sarkar和Singh提出的三个重定相不变量$I_{12}$、$I_{13}$和$I_{23}$,在Mohapatra-Rodejohann相位约定的基础上,计算了一般$3\times3$复对称中微子质量矩阵的Majorana相位.我们发现它们很有趣,因为它们允许我们以独立于模型的方式评估每个马约拉纳相,即使一个特征值为零。利用一般复杂的对称质量矩阵的本征值和混合角的解决方案,我们确定的马约拉纳阶段的两个层次,正常和倒置,同时考虑到中微子振荡的全球拟合数据的约束,以及约束的总和上的三个轻中微子质量($Σ_im_i$)和中微子双β衰变($ββ_{0ν}$)参数$|m_{11}|$。这种发现马约拉纳阶段的方法,此后在一些预测模型中应用的分层情况下,(正常和倒置)结果表明,尽管在逆层次结构下的子情形之一还没有被实现,但是在逆层次结构部分中的所有子情形都可以在逆跷跷板框架内的具有纹理零和缩放反的模型中实现。确立了习除了准简并中微子的情况下,在这项工作中获得的方法是能够评估相应的马约拉纳阶段,给定任何模型的中微子质量。

英文摘要:

We evaluate the Majorana phases for a general $3\times3$ complex symmetric neutrino mass matrix on the basis of Mohapatra-Rodejohann's phase convention using the three rephasing invariant quantities $I_{12}$, $I_{13}$ and $I_{23}$ proposed by Sarkar and Singh. We find them interesting as they allow us to evaluate each Majorana phase in a model independent way even if one eigenvalue is zero. Utilizing the solution of a general complex symmetric mass matrix for eigenvalues and mixing angles we determine the Majorana phases for both the hierarchies, normal and inverted, taking into account the constraints from neutrino oscillation global fit data as well as bound on the sum of the three light neutrino masses ($Σ_im_i$) and the neutrinoless double beta decay ($ββ_{0ν}$) parameter $|m_{11}|$. This methodology of finding the Majorana phases is applied thereafter in some predictive models for both the hierarchical cases (normal and inverted) to evaluate the corresponding Majorana phases and it is shown that all the sub cases presented in inverted hierarchy section can be realized in a model with texture zeros and scaling ansatz within the framework of inverse seesaw although one of the sub case following the normal hierarchy is yet to be established. Except the case of quasi degenerate neutrinos, the methodology obtained in this work is able to evaluate the corresponding Majorana phases, given any model of neutrino masses.

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