论文标题
Dirac Neutminino质量矩阵的五个纹理零
Five Texture Zeros for Dirac Neutrino Mass Matrices
论文作者
论文摘要
在这项工作中，我们为Lepton部门的质量矩阵提出了新的五个纹理零，以预测中微子质量的值。在我们的方法中，我们通过假设中微子的狄拉克质量超越了标准模型，该特征使我们能够对正常顺序中最轻的中微子质量做出理论预测。分析的纹理具有足够的免费参数来调整$ v _ {\ text {\ tiny pmns}} $混合矩阵，包括CP-Violation阶段，中微子质量平方差$ΔM_{21}}}^2，\，\，\，Δm_{31}}}^2 $，和三荷lep lepton。为了获得可靠的结果，使用了两种不同的方法：第一种方法基于最小二乘分析，以适合Lepton群众，并将混合参数适合其相应的实验值，对于这种情况下，最适合最轻的中性质量为$（3.9 \ pm^{0.6} {0.6} _ {0.8} _ {0.8} _ {0.8} _ {0.8}）第二种方法只是基于弱基础转换方法的代数，在这种情况下，最轻的中微子质量与实验值一致，并且来自质量矩阵的五个纹理零的限制等于$（3.5 \ pm0.9）\ times times times times times times times times times times times times times times 10^{-3} $ ev。
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.
