论文标题
基于$ a_4 $对称和单峰混合矩阵的两零纹理
Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
论文作者
论文摘要
在三型$ tmaximal $ tm_2 $混合矩阵的情况下应用$ a_4 $对称性，在该方案中，带电的Lepton Mass Matrix是对角线的，中微子的性质是Majorina，我们是Majorana是Majorana，我们研究并分析了可行的两个零中性质量矩阵。在具有$ A_4 $对称性的七个可能的两零纹理中，我们发现只有两个纹理，即具有$（e，e）$和$（e，μ）$消失的质量矩阵及其置换元素的纹理，与非磨损方法中的实验数据一致。我们还获得了模型阶段之间的新重大关系，即$ρ+σ= ϕ \pmπ$和$ \ sin^2 {θ_{θ_{13}} = \ frac {2} {2} {3}r_ν$其中$r_ν= \ frac = \ frac {δm^2} {δm^2} {δm^2} $。随后，通过承认$R_ν$的实验范围，我们检索了未知阶段$ ϕ $的允许范围。这样的过程有助于我们确定所有中微子可观察的参数，中微子的质量，CP侵略阶段和$ J $参数的范围，并预测中微子质量的正常层次结构。最后，我们表明，关于我们的加上报告的特定纹理的预测与中微子振荡，宇宙微波背景和中微子双β衰减实验的相应数据一致。
Applying the $A_4$ symmetry in the scenario of unimodular second scheme of trimaximal $TM_2$ mixing matrix, where the charged lepton mass matrix is diagonal and the nature of neutrinos are Majorana, we investigate and analyze feasible two zeros neutrino mass matrices. Among the seven possible two-zero textures with $A_4$ symmetry, we have found that only two textures, namely the texture with $(e, e)$ and $(e,μ)$ vanishing element of mass matrix and its permutation, are consistent with the experimental data in the non-perturbation method. We also obtain new significant relations between phases of our model, namely $ρ+σ=ϕ\pmπ$ and $\sin^2{θ_{13}}=\frac{2}{3}R_ν$ where $R_ν=\frac{δm^2}{Δm^2}$. Subsequently, by admitting the experimental ranges of $R_ν$, we retrieve the allowed range of the unknown phase $ϕ$. Such a procedure assist us to determine the ranges of all the neutrino observable parameters, the masses of neutrinos, the CP-violating phases and $J$ parameter as well as to predict the normal hierarchy for the neutrino mass. Finally, we show that our predictions with respect to our herewith reported specific textures are consistent with the corresponding data reported from neutrino oscillation, cosmic microwave background and neutrinoless double beta decay experiments.
