arXiv 1402.12562014-02hep-ph

含中性轻子的3-3-1模型中的T7味对称性

The T7 flavor symmetry in 3-3-1 model with neutral leptons

V. V. Vien, H. N. Long

备注：: 39 pages, 16 figures. arXiv admin note: substantial text overlap with arXiv:1312.5034; and text overlap with arXiv:1304.0921, arXiv:1306.4138, arXiv:1311.6729, arXiv:1310.4614 by other authors
发表信息：: JHEP04(2014)133
DOI：: 10.1007/JHEP04(2014)133

摘要：

我们构造了一个3-3-1模型的基础上非阿贝尔离散对称$T_7$负责费米子质量。中微子只从反六联体中获得质量，这些反六联体是在$T_7$下的三联体$\underline{3}$和$\underline{3}^*$。味混合模式和质量分裂得到无扰动。由带电轻子扇区中的$T_7 \rightarrow Z_3$破缺以及$T_7 \rightarrow Z_3$和$Z_3 \rightarrow \{\mathrm{Identity}\}$都必须在中微子扇区中发生，但只在$Z_3 \rightarrow \{\mathrm{Identity}\}$破缺时才发生（没有$\si'$的贡献）得到了三重极大形式，并给出了在该水平上中微子质量$\sum_{i=1}^3m_i$的上界.狄拉克CP破坏相位$δ$被预测为$\fracπ{2}$或最大CP破坏的$\frac{3π}{2}$。从狄拉克CP破坏相出发，得到了与PDG 2012中实验一致的欧拉角之间的关系。另一方面，如果$T_7 \rightarrow Z_3$和$Z_3 \rightarrow \{\mathrm{Identity}\}$的破缺方向都发生在中微子扇区内，则可以得到真实的轻子混合。CKM矩阵是树级的单位矩阵。

英文摘要：

We construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\underline{3}$ and $\underline{3}^*$ under $T_7$. The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking $T_7 \rightarrow Z_3$ in charged lepton sector and both $T_7 \rightarrow Z_3$ and $Z_3 \rightarrow \{\mathrm{Identity}\}$ must be taken place in neutrino sector but only apart in breakings $Z_3 \rightarrow \{\mathrm{Identity}\}$ (without contribution of $\si'$), and the upper bound on neutrino mass $\sum_{i=1}^3m_i$ at the level is presented. The Dirac CP violation phase $δ$ is predicted to either $\fracπ{2}$ or $\frac{3π}{2}$ which is maximal CP violation. From the Dirac CP violation phase we obtain the relation between Euler's angles which is consistent with the experimental in PDG 2012. On the other hand, the realistic lepton mixing can be obtained if both the direction for breakings $T_7 \rightarrow Z_3$ and $Z_3 \rightarrow \{\mathrm{Identity}\}$ are taken place in neutrino sectors. The CKM matrix is the identity matrix at the tree-level.

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