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arXiv 1401.0937hep-ph
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$S_3$离散群作为$331$模型中夸克质量和混合斑图的来源

$S_3$ discrete group as a source of the quark mass and mixing pattern in $331$ models

A. E. Cárcamo Hernández, R. Martinez, Jorge Nisperuza

备注：
12 pages. Version published in European Physical Journal C
发表信息：
Eur.Phys.J. C75 (2015) 2, 72
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摘要：

我们提出了一个模型的基础上的$SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$规范对称性与额外的$S_{3}\otimes Z_{2}\otimes Z_{4}\otimes Z_{12}$离散群，成功地占SM夸克质量和混合模式。所观察到的SM夸克质量和夸克混合矩阵元的层次结构来自于$Z_{4}$和$Z_{12}$对称性，它们在非常高的尺度上被分别在这些对称性下带电的$SU(3)_{L}$标量单线态（$σ$，$ζ$）和$τ$打破。Cabbibo混合产生于下夸克扇区，而上夸克扇区产生剩余的夸克混合角。计算得到的CKM矩阵元、CP破坏相位和Jarlskog不变量的幅值与实验数据一致。

英文摘要：

We propose a model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge symmetry with an extra $S_{3}\otimes Z_{2}\otimes Z_{4}\otimes Z_{12}$ discrete group, which successfully accounts for the SM quark mass and mixing pattern. The observed hierarchy of the SM quark masses and quark mixing matrix elements arises from the $Z_{4}$ and $Z_{12}$ symmetries, which are broken at very high scale by the $SU(3)_{L}$ scalar singlets ($σ$,$ζ$) and $τ$, charged under these symmetries, respectively. The Cabbibo mixing arises from the down type quark sector whereas the up quark sector generates the remaining quark mixing angles. The obtained magnitudes of the CKM matrix elements, the CP violating phase and the Jarlskog invariant are in agreement with the experimental data.

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