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arXiv 0708.3665hep-ph
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轻子混合的对称性

Symmetry of Lepton Mixing

C. S. Lam

摘要:

中微子混合是从对称性的角度研究的,自下而上和自上而下。在自底向上的方法中,我们从三-双极大混合或其三个部分模式之一开始,并构造一个能够在不调整参数的情况下再现混合的水平对称群列表。此列表由整数$n\ge 3$标记,是为$n=3$显式计算的。在自顶向下的方法中,我们从任何具有三维不可约表示和二阶元的有限群开始,给出一个配方来确定它包含什么样的混合模式,以及如何构建一个动力学模型来揭示一个特定的混合。最后,我们指出,如果夸克混合是由对称性以这种方式控制,那么有一个令人兴奋的可能性,以确定大部分的CKM混合参数的对称性单独。

英文摘要:

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups capable of reproducing the mixng without adjustment of parameters. This list, labeled by an integer $n\ge 3$, is explicitly calculated for $n=3$. In the top-down approach, we start from any finite group possessing a three-dimensional irreducible representation and an order-2 element, give a recipe to determine what mixing pattern it contains, and how to construct a dynamical model to reveal a particular mixing. Finally, we point out that if quark mixing is controlled by symmetry in this way, then there is an exciting possibility to determine most of the CKM mixing parameters by symmetry alone.

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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