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arXiv 0705.2275hep-ph
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嵌入SU(3)的S_4味对称性和轻子质量及混合

S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing

Yoshio Koide

摘要:

在假设SU(3)中嵌入了S4味对称性的基础上,研究了轻子质量矩阵模型。本文假定了Frogatt-Nielsen型模型,质量和混合的味结构是由SU(2)_L单重标量的VEV引起的,它们是SU(3)味对称的(8+1)九重态,破缺为S_4的2+3+3'和1。如果我们要求九态场<$^{(8+1)}的超势在变换(<$^{(8)},<$^{(1)})\to(-<$^{(8)},+<$^{(1)})下的不变性,则该模型导致带电轻子质量的一个美丽的关系。假设两个SU(3)单线态右手中微子ν_R^{(\pm)}和一个SU(3)三线态标量χ,就可以理解观察到的三重最大中微子混合。

英文摘要:

Based on an assumption that an S_4 flavor symmetry is embedded into SU(3), a lepton mass matrix model is investigated. A Frogatt-Nielsen type model is assumed, and the flavor structures of the masses and mixing are caused by VEVs of SU(2)_L-singlet scalars ϕ_u and ϕ_d which are nonets (8+1) of the SU(3) flavor symmetry, and which are broken into 2+3+3' and 1 of S_4. If we require the invariance under the transformation (ϕ^{(8)},ϕ^{(1)}) \to (-ϕ^{(8)},+ϕ^{(1)}) for the superpotential of the nonet field ϕ^{(8+1)}, the model leads to a beautiful relation for the charged lepton masses. The observed tribimaximal neutrino mixing is understood by assuming two SU(3) singlet right-handed neutrinos ν_R^{(\pm)} and an SU(3) triplet scalar χ.

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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