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arXiv 0909.1433hep-ph
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SU(5)SUSY 6 d大胃肠道的$A_4$族对称性

$A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d

T. J. Burrows, S. F. King

摘要:

我们提出了一个模型,其中$A_4$族对称性从六维轨道SU(5)超对称大统一理论动态地产生。SU(5)通过一种特殊的轨道紧化破缺为标准模型规范群,导致$A_4$族对称性、低能超对称性和Higgs双重态-三重态分裂。由此产生的四维有效超势导致一个现实的描述夸克和轻子的质量和混合角,包括三双峰中微子混合和家庭间的质量等级提供的Froggatt-Nielsen机制。该模型是第一个结合了轨道折叠大统一理论和轨道折叠产生的$A_4$族对称性的模型。

英文摘要:

We propose a model in which $A_4$ Family Symmetry arises dynamically from a six dimensional orbifold SU(5) Supersymmetric Grand Unified Theory. The SU(5) is broken to the Standard Model gauge group by a particular orbifold compactification leading to $A_4$ Family Symmetry, low energy Supersymmetry and Higgs doublet-triplet splitting. The resulting four dimensional effective superpotential leads to a realistic description of quark and lepton masses and mixing angles including tri-bimaximal neutrino mixing and an inter-family mass hierarchy provided by a Froggatt-Nielsen mechanism. This model is the first which combines the idea of orbifold GUTs with $A_4$ family symmetry resulting from the orbifolding.

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