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Two-parameter neutrino mass matrices with two texture zeros

机译:具有两个纹理零点的两参数中微子质量矩阵

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摘要

We reanalyze Majorana neutrino mass matrices M_ν with two texture zeros, by searching for viable hybrid textures in which the non-zero matrix elements ofM_ν have simple ratios. Referring to the classification scheme of Frampton, Glashow and Marfatia, we find that the mass matrix denoted by A1 allows the ratios (M_ν)μμ: (M_ν)ττ = 1: 1 and (M_ν) eτ: (M_ν)_(μτ) = 1: 2. There are analogous ratios for texture A2.With these two hybrid textures, one obtains, for instance, good agreement with the data if one computes the three mixing angles in terms of the experimentally determined mass-squared differences Δm _(31)~2 and Δm_(21)~2. We could not find viable hybrid textures based on mass matrices different from those of cases A1 and A2.
机译:我们通过搜索可行的混合纹理(其中M_ν的非零矩阵元素具有简单比率)来重新分析具有两个纹理零的Majorana中微子质量矩阵M_ν。参考Frampton,Glashow和Marfatia的分类方案,我们发现由A1表示的质量矩阵允许比率(M_ν)μμ:(M_ν)ττ= 1:1和(M_ν)eτ:(M_ν)_(μτ) = 1:2。纹理A2的比率相似。如果这两个混合纹理根据实验确定的质量平方差Δm_(3)计算三个混合角度,则其中一个与数据具有良好的一致性。 31)〜2和Δm_(21)〜2。我们无法找到与案例A1和A2不同的基于质量矩阵的可行混合纹理。

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