arXiv 1206.70162012-06-29hep-ph

通过$μ-τ$对称破缺参数化中微子质量矩阵的新方法：正规族

A new method of parametrisation of neutrino mass matrix through breaking of $μ-τ$ symmetry: Normal hierarchy

Subhankar Roy, N. Nimai Singh

备注：: 19 pages, 14 figures

摘要：

在本工作的第一部分中，中微子质量矩阵的$μ-τ$对称性在其最小水平上被扰动，以产生偏离三双峰混合（TBM），其中包括反应堆角的非零值$θ_{13}$和$\tan^{2}θ_{23}=1$的最大条件。用最少的独立参数对描述正规族的中微子质量矩阵进行参数化，其中两个参数$η$和$α$分别处理$θ_{12}$和$θ_{13}$，而不影响质量本征值.在第二部分中，偏离最大条件$\tan^{2}θ_{23}=1$，随着非零值的$θ_{13}$，已实施的引入扰动矩阵，打破了$μ-τ$对称质量矩阵。该模型被发现是足够灵活的，以调整自己的变化精确的实验结果。该方法也适用于倒层次和拟退化的情况。

英文摘要：

In the first part of the present work the $μ-τ$ symmetry of the neutrino mass matrix is perturbed at its minimal level in order to produce deviation from Tri-bimaximal mixing (TBM), which includes nonzero value of reactor angle $θ_{13}$ and maximal condition of $\tan^{2}θ_{23}=1$. The parametrisation of neutrino mass matrix which describes Normal hierarchy (NH), has been addressed with minimum number of independent parameters, out of which two parameters $η$ and $α$ take care of $θ_{12}$ and $θ_{13}$ respectively without any interference with mass eigenvalues. In the second part the deviation from maximal condition $\tan^{2}θ_{23}=1$, along with the nonzero value of $θ_{13}$, has been implemented with the introduction of a perturbing matrix which breaks the $μ-τ$ symmetric mass matrix. The model is found to be flexible enough to adjust itself with the changing precise experimental results. The method is also applicable for inverted hierarchy and quasi-degenerate cases.

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