论文标题
质地零的调查与轻度狄拉克中微子
Survey of Texture Zeros with Light Dirac Neutrinos
论文作者
论文摘要
我们通过考虑光中微子的狄拉克性质，在光中微子质量基质中对所有可能的纹理零进行了分类。对于中微子质量基质的赫尔米利亚性质，可能的纹理零的数量与Majorana纹理零相同，但由于缺乏其他Majorana CP阶段，因此自由参数较少。放松中微子质量基质的赫尔米利亚性质会导致更多的可能性和自由，这是由于额外的CP阶段而引起的，混合了不受中微子数据约束的角度。虽然我们发现在遗传学案例中不允许纹理零，但在非赫米特式案例中，即使允许使用四个零质量。尽管在这种情况下，允许使用一零，两零和三零纹理的大多数，但在126个可能性中仅允许的6个允许的6个质量受到严格约束。允许的纹理还可以在光中微子参数之间具有有趣的相关性，在正常和倒数质量排序之间具有鲜明的区别。这些允许的纹理中的许多也使Planck 2018上微子质量的总和饱和。
We classify all possible texture zeros in light neutrino mass matrix in diagonal charged lepton basis by considering Dirac nature of light neutrinos. For Hermitian nature of neutrino mass matrix, the number of possible texture zeros remain same as Majorana texture zeros, but with less free parameters due to the absence of additional Majorana CP phases. Relaxing the Hermitian nature of neutrino mass matrix lead to many more possibilities and freedom due to additional CP phases, mixing angles not constrained by neutrino data. While we find that none of the texture zeros in Hermitian case are allowed, in non-Hermitian case some textures even with four zeros are allowed. While most of the one-zero, two-zero and three-zero textures in this case are allowed, four-zero textures are tightly constrained with only 6 allowed out of 126 possibilities. The allowed textures also give interesting correlations between light neutrino parameters with sharp distinctions between normal and inverted mass ordering. Many of these allowed textures also saturate the Planck 2018 upper bound on the sum of absolute neutrino masses.
