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arXiv 0802.1693hep-ph
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A4嵌入SU(3)xU(1)味对称:SO(10)GUT中的大中微子混合和费米子质量等级

Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT

F. Bazzocchi, S. Morisi, M. Picariello, E. Torrente-Lujan

摘要:

我们提出了一个共同的费米子质量等级和大轻子混合角的背景下,一个大统一的味道和规范理论(GUTF)的解释。我们的出发点是SU(3)xU(1)味对称和SO(10)大统一理论,我们理论的一个基本组成部分,其中起主要作用的是味对称的两种不同的破缺模式。一方面,SU(3)xU(1)味对称性动力学破缺为U(2)xZ_3解释了为什么一个族比其他族重得多。另一方面,SU(3)到离散味对称的显式对称破缺导致轻子的三重极大混合。我们写了一个明确的模型,其中这个离散对称群是A4。带电费米子质量等级的自然性是连续SU(3)味对称性的结果。此外,相同的离散A4-GUT不变算子是大轻子混合、小卡比波角和中微子质量的根。

英文摘要:

We present a common explanation of the fermion mass hierarchy and the large lepton mixing angles in the context of a grand unified flavor and gauge theory (GUTF). Our starting point is a SU(3)xU(1) flavor symmetry and a SO(10) GUT, a basic ingredient of our theory which plays a major role is that two different breaking pattern of the flavor symmetry are at work. On one side, the dynamical breaking of SU(3)xU(1) flavor symmetry into U(2)xZ_3 explains why one family is much heavier than the others. On the other side, an explicit symmetry breaking of SU(3) into a discrete flavor symmetry leads to the observed tribimaximal mixing for the leptons. We write an explicit model where this discrete symmetry group is A4. Naturalness of the charged fermion mass hierarchy appears as a consequence of the continuous SU(3) flavor symmetry. Moreover, the same discrete A4-GUT invariant operators are the root of the large lepton mixing, small Cabibbo angle, and neutrino masses.

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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