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arXiv 2002.01864hep-ph
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狄拉克中微子质量矩阵的五个纹理零点

Five Texture Zeros for Dirac Neutrino Mass Matrices

Richard H. Benavides, Yithsbey Giraldo, Luis Muñoz, William A. Ponce, Eduardo Rojas

摘要:

在这项工作中,我们提出了新的五个纹理零的质量矩阵的轻子部门,以预测值的中微子质量。在我们的方法中,我们超越了标准模型的假设狄拉克质量的中微子,功能,使我们能够作出理论预测的最轻的中微子质量在正常的秩序。分析的纹理有足够的自由参数来调整$V_{\text{\tiny PMNS}}$混合矩阵,包括CP破坏相,中微子质量平方差$δm_{21}^2,\,δm_{31}^2$,和三个带电轻子的质量。为了得到可靠的结果,采用了两种不同的方法:第一种方法是基于最小二乘分析,将轻子质量和混合参数与相应的实验值拟合,在这种情况下,最轻中微子质量的最佳拟合值是$(3.9\pm^{0.6}_{0.8})\times 10^{-3}$ eV。第二种方法是基于弱基变换的代数方法,在这种情况下,与实验值一致的最轻中微子质量等于$(3.5\pm0.9)\times 10^{-3}$ eV。

英文摘要:

In this work we propose new five textures zeros for the mass matrices in the lepton sector in order to predict values for the neutrino masses. In our approach we go beyond the Standard Model by assuming Dirac masses for the neutrinos, feature which allows us to make a theoretical prediction for the lightest neutrino mass in the normal ordering. The textures analyzed have enough free parameters to adjust the $V_{\text{\tiny PMNS}}$ mixing matrix including the CP-violating phase, the neutrino mass squared differences $δm_{21}^2,\,δm_{31}^2$, and the three charged lepton masses. In order to have reliable results two different approaches are used: the first one is based on a least-squares analysis to fit the lepton masses and the mixing parameters to their corresponding experimental values, for this case the best fit for the lightest neutrino mass is $(3.9\pm^{0.6}_{0.8})\times 10^{-3}$ eV.; the second approach is just algebraic, based on the weak basis transformation method, in this case the lightest neutrino mass consistent with the experimental values and the restrictions coming from the five texture zeros of the mass matrices is equal to $(3.5\pm0.9)\times 10^{-3}$ eV.

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