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arXiv 0909.1762hep-ph
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极小SO(10)× A_4 SUSY GUT中的费米子质量和混合

Fermion Masses and Mixings in a Minimal SO(10)X A_4 SUSY GUT

Abdelhamid Albaid

摘要:

通过引入使规范对称性破缺到$SU(3)_c \times U(1)_{em}$所需的最小低维Higgs表象集,构造了一个描述费米子质量和混合的SUSY SO(10)$\times A_4$ GUT模型.费米子质量的等级可以在$A_4$对称性的框架中理解。从$A_4$不变超势出发,得到了带电轻子和下夸克的“双不平衡”质量矩阵。结果表明,这种结构导致双大中微子混合同时与小CKM混合角。得到了与夸克和轻子的质量和混合以及CP破坏参数的良好拟合。此外,该模型预测中微子混合角$\sinθ_{13}\approx 0.15$。

英文摘要:

A SUSY SO(10) $\times A_4$ GUT model is constructed for fermion masses and mixing by introducing a minimal set of low dimensional Higgs representations needed to break the guage symmetry down to $SU(3)_c \times U(1)_{em}$. The hierarchy of fermion masses can be understood in the framework of $A_4$ symmetry. From the $A_4$-invariant superpotential, the "double lopsided" mass matrices for the charged leptons and the down quarks are obtained. It is shown that this structure leads to bi-large neutrino mixings simultaneously with small CKM mixing angles. An excellent fit to the masses and mixings of the quarks and leptons as well as to CP violation parameter is obtained. Moreover, the model predicts the neutrino mixing angle $\sinθ_{13}\approx 0.15$.

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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