S4 flavor symmetry embedded into SU(3) and lepton masses and mixing
S4 flavor symmetry embedded into SU(3) and lepton masses and mixing
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DOI：
10.1088/1126-6708/2007/08/086
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发表时间：
2007-05
影响因子：
5.4
通讯作者：
Y. Koide
中科院分区：
文献类型：
--
作者：
Y. Koide
在SU（3）中嵌入S4味对称性的假设下，研究了轻子质量矩阵模型。本文假定了Froggatt-Nielsen型模型，质量和混合的味结构是由SU（2）L-单重标量u和d的味结构引起的，u和d是SU（3）味对称的（8 + 1）九重态，它们被破缺为S4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））→（-（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）单重态右手中微子ν R（±）和一个SU（3）三重态标量χ，就可以理解观察到的三重最大中微子混合。
Based on the assumption that an S4 flavor symmetry is embedded into SU(3), a lepton mass matrix model is investigated. A Froggatt-Nielsen type model is assumed, and the flavor structures of the masses and mixing are caused by VEVs of SU(2)L-singlet scalars u and d which are nonets (8+1) of the SU(3) flavor symmetry, and which are broken into 2+3+3' and 1 of S4. If we require the invariance under the transformation ((8),(1))→(−(8),+(1)) for the superpotential of the nonet field (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 νR(±) and an SU(3) triplet scalar χ.