论文标题
具有对角线反射对称性的MNS矩阵的分析结构
Analytic structure of the MNS matrix with diagonal reflection symmetries
论文作者
论文摘要
在本文中，我们通过对角线反射对称性调查了MNS基质的分析结构。如果充电的Leptons $ m_ {e} $的质量矩阵是层次（即$ |（m_ {e}）_ {33} | \ simeqm_τ\ gg |（m_ {e} _ {e}）_ {1i，j1} | $）以四个参数和几个符号自由度为代表。通过替换三个观察到的混合角度$θ_{ij} $作为输入参数，dirac阶段$δ$和majoraana阶段$α_{2,3} $成为1-2个电荷leptons $ s_ {e} $的函数。结果，我们获得了CP侵入阶段$ | \sinδ|之间的明显相关性。 \ simeq 1.6 | \sinα_{2} | \ simeq 2.5 | \sinα_{3} | $。 尽管很难观察到主要阶段，但通过将这些对称性与确定质量值的模型（例如最小的Seesaw模型）相结合，可以将双β衰变的有效质量显示为$Δ$的函数。
In this paper, we survey the analytic structure of the MNS matrix with diagonal reflection symmetries. If the mass matrix of charged leptons $m_{e}$ is hierarchical (i.e., $|(m_{e})_{33}| \simeq m_τ \gg |(m_{e})_{1i , j1}|$), by neglecting the 1-3 mixing of $m_{e}$, the MNS matrix is represented by four parameters and several sign degrees of freedom. By substituting the three observed mixing angles $θ_{ij}$ as input parameters, the Dirac phase $δ$ and the Majorana phases $α_{2,3}$ become functions of the 1-2 mixing of charged leptons $s_{e}$. As a result, we obtain clear correlations between CP-violating phases $|\sin δ| \simeq 1.6 |\sin α_{2}| \simeq 2.5 |\sin α_{3}|$. Although the Majorana phases are difficult to observe, by combining these symmetries with a model that has determined mass values (such as the minimal seesaw model), the effective mass of the double beta decay can be displayed as a function of $δ$.
