arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1905.07910hep-ph
收藏

中微子质量和混合的代数分析及其对$μ$ - $τ$对称质量矩阵的意义

An Algebraic Analysis of Neutrino Masses and Mixings and its Implications on $μ$-$τ$ Symmetric Mass Matrix

Chandan Duarah

摘要:

利用PMNS矩阵对Majorana中微子质量矩阵进行对角化,得到了质量矩阵元与混合参数之间的解析关系,三个混合角- $θ_{12}, θ_{23}, θ_{13}$和Dirac CP相位δ。我们在一个特殊的$μ$ - $τ$对称质量矩阵中分析了我们的结果,该矩阵对应于最大大气混合($θ_{23}=π/4$)和最大CP破坏($δ=-π/2$)。分析表明,$θ_{23}$与其最大值的偏差可以与其他两个混合角的预测相关联。

英文摘要:

We diagonalize Majorana neutrino mass matrix with the help of PMNS matrix and obtain analytical relations between the mass matrix elements and mixing parameters, viz., three mixing angles- $θ_{12}, θ_{23}, θ_{13}$ and Dirac CP phase δ. We analyse our results in a special $μ$-$τ$ symmetric mass matrix which corresponds to maximal atmospheric mixing ($θ_{23}=π/4$) and maximal CP violation ($δ=-π/2$). The analysis shows that a deviation of $θ_{23}$ from its maximal value can be correlated with the prediction of other two mixing angles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑