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arXiv 1406.3546hep-ph
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轻子质量矩阵中织构零点的全面研究

A complete survey of texture zeros in the lepton mass matrices

Patrick Otto Ludl, Walter Grimus

摘要:

我们对轻子质量矩阵中的织构零点进行了系统而完整的分析,并确定了所有可行的和最大限制的对(M_ \ell,M_D)和(M_ \ell,M_L)的情况,其中M_ \ell,M_D和M_L分别是带电轻子、Dirac中微子和Majorana中微子的质量矩阵.为此,我们进行了彻底的分析,通过弱基排列是等效的纹理。此外,我们引入数值措施的预测纹理,并将其应用到可行的和最大限度地限制纹理零模型。结果表明,对于狄拉克中微子,这些模型最多只能预测最小的中微子质量和混合矩阵的CKM型相位。对于Majorana中微子,大多数模型还能预测无中微子双β衰变的有效中微子质量。除了一个模型对sin ^2(θ_23)具有边际预测能力外,没有其他模型能够预测任何已经测量到的观测值。

英文摘要:

We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M_\ell, M_D) and (M_\ell, M_L), where M_\ell, M_D and M_L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay. Apart from one model, which has marginal predictive power with respect to sin^2(theta_23), no other model can predict any of the already measured observables.

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