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arXiv 0811.3775hep-ph
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Wilson线味对称性破缺的费米子质量统一模型

Unified model of fermion masses with Wilson line flavor symmetry breaking

Gerhart Seidl

摘要:

我们提出了一个超对称SU(5)GUT模型,该模型具有离散的非阿贝尔味对称性,该对称性被Wilson线破缺。该模型是在流形S^3/Z_n上4+3维紧化的。威尔逊线的对称破缺是拓扑的,并且允许在没有真空对准机制的情况下实现必要的味对称破缺。该模型预测了带电费米子质量和夸克混合角的分级模式。小的正常层次中微子质量产生的I型跷跷板机制。非阿贝尔味对称性预言了首阶精确的最大大气混合,而太阳角则来自夸克-轻子互补的一个变体。因此,由此产生的轻子混合矩阵与当前的数据非常吻合,并可以在未来的中微子振荡实验中进行测试。

英文摘要:

We present a supersymmetric SU(5) GUT model with a discrete non-Abelian flavor symmetry that is broken by Wilson lines. The model is formulated in 4+3 dimensions compactified on a manifold S^3/Z_n. Symmetry breaking by Wilson lines is topological and allows to realize the necessary flavor symmetry breaking without a vacuum alignment mechanism. The model predicts the hierarchical pattern of charged fermion masses and quark mixing angles. Small normal hierarchical neutrino masses are generated by the type-I seesaw mechanism. The non-Abelian flavor symmetry predicts to leading order exact maximal atmospheric mixing while the solar angle emerges from a variant of quark-lepton complementarity. As a consequence, the resulting leptonic mixing matrix is in excellent agreement with current data and could be tested in future neutrino oscillation experiments.

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