Discrete flavor symmetry, dynamical mass textures, and grand unification
Discrete flavor symmetry, dynamical mass textures, and grand unification
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DOI：
10.1016/j.nuclphysb.2006.01.027
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发表时间：
2005-11
期刊：
影响因子：
--
通讯作者：
N. Haba;K. Yoshioka
中科院分区：
文献类型：
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作者：
N. Haba;K. Yoshioka
离散味对称性是夸克和轻子质量矩阵形式的一种内在性质。本文研究了S3置换对称性，导出了各种S3理论中质量矩阵的一般形式。我们还展示了特定的实现以前的ansatze的质量矩阵，这往往被应用在文献中的标准模型汤川部门。离散味对称性对于在标量势的真空中动态生成的消失矩阵元素也是有利的。这是因为组操作是离散的。虽然零元素本身并不能解释质量等级，但我们引入了阿贝尔味对称。一个重要的问题是，成功的量子数是否可以被分配，以便它们与其他（非阿贝尔）味对称兼容。我们展示了电荷分配的典型例子，它不仅产生质量本征值的层次顺序，而且还禁止不可重正化的运营商，扰乱了一阶估计的层次结构。作为一个显式应用，在具有S3和U（1）（或ZN）味对称的大统一框架下构造了一个味模型。
Discrete flavor symmetry is explored for an intrinsic property of mass matrix forms of quarks and leptons. In this paper we investigate the S3permutation symmetry and derive the general forms of mass matrices in various types of S3theories. We also exhibit particular realizations of previous ansatze of mass matrices, which have often been applied in the literature to the standard model Yukawa sector. Discrete flavor symmetry is also advantageous for vanishing matrix elements being dynamically generated in the vacuum of scalar potential. This is due to the fact that group operations are discrete. While zero elements themselves do not explain mass hierarchies, we introduce an Abelian flavor symmetry. A non-trivial issue is whether successful quantum numbers can be assigned so that they are compatible with other (non-Abelian) flavor symmetries. We show typical examples of charge assignments which not only produce hierarchical orders of mass eigenvalues but also prohibit non-renormalizable operators which disturb the hierarchies in first-order estimation. As an explicit application, a flavor model is constructed in grand unification scheme with S3and U(1) (or ZN) flavor symmetries.