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arXiv 1212.2149hep-ph
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轻子混合的离散对称性和模型无关的模式

Discrete symmetries and model-independent patterns of lepton mixing

D. Hernandez, A. Yu. Smirnov

摘要:

在离散风味对称性的背景下,我们阐述了一种方法,允许一个独立于模型的方式获得的混合参数之间的关系。在非常一般的条件下,我们表明,风味组的冯戴克型,不一定是有限的,确定的绝对值的混合矩阵的一列的条目。我们将我们的形式主义的无限冯戴克组,如模组的有限子群,并找到一个很好的协议,产生最佳的混合角的拟合值的情况下。我们探讨了克莱因群作为中微子部门的剩余对称性,并解释了在这种情况下,混合矩阵的元素之间出现的置换属性。

英文摘要:

In the context of discrete flavor symmetries, we elaborate a method that allows one to obtain relations between the mixing parameters in a model-independent way. Under very general conditions, we show that flavor groups of the von Dyck type, that are not necessarily finite, determine the absolute values of the entries of one column of the mixing matrix. We apply our formalism to finite subgroups of the infinite von Dyck groups, such as the modular groups, and find cases that yield an excellent agreement with the best fit values for the mixing angles. We explore the Klein group as the residual symmetry of the neutrino sector and explain the permutation property that appears between the elements of the mixing matrix in this case.

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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