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arXiv 1706.04576hep-ph
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从味对称性和CP对称性对夸克和轻子混合的统一解释

Toward a unified interpretation of quark and lepton mixing from flavor and CP symmetries

Cai-Chang Li, Jun-Nan Lu, Gui-Jun Ding

摘要:

讨论了在中微子和带电轻子扇区中,CP对称性结合的离散味群破缺为$Z_2\times CP$的情形。所有轻子混合角和CP破坏相位都依赖于两个在$[0, π)$范围内变化的自由参数$θ_{l}$和$θ_ν$。作为一个例子,我们全面地研究了由味群$Δ(6n^2)$和CP对称性导出的轻子混合模式。得到了三种唯象上可行的轻子混合矩阵,分别对应于行置换和列置换。我们进一步扩展这种方法的夸克部门。精确测量的夸克混合角和CP不变量可以适应于一定的自由参数$θ_{u}$和$θ_{d}$。夸克和轻子味混合结构的同时描述可以从一个共同的味群$Δ(6n^2)$和CP实现,相应地,群指数$n$的最小值是$n=7$。

英文摘要:

We discussed the scenario that a discrete flavor group combined with CP symmetry is broken to $Z_2\times CP$ in both neutrino and charged lepton sectors. All lepton mixing angles and CP violation phases are predicted to depend on two free parameters $θ_{l}$ and $θ_ν$ varying in the range of $[0, π)$. As an example, we comprehensively study the lepton mixing patterns which can be derived from the flavor group $Δ(6n^2)$ and CP symmetry. Three kinds of phenomenologically viable lepton mixing matrices are obtained up to row and column permutations. We further extend this approach to the quark sector. The precisely measured quark mixing angles and CP invariant can be accommodated for certain values of the free parameters $θ_{u}$ and $θ_{d}$. A simultaneous description of quark and lepton flavor mixing structures can be achieved from a common flavor group $Δ(6n^2)$ and CP, and accordingly the smallest value of the group index $n$ is $n=7$.

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。

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