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arXiv 1003.5854hep-phhep-ex
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夸克和轻子混合矩阵的么正性回旋镖

Unitarity boomerangs of quark and lepton mixing matrices

Shi-Wen Li, Bo-Qiang Ma

摘要:

夸克和轻子混合矩阵的最常用表示方法是用三个混合角和一个CP破坏相参数化。在这类参数化中有两种主要的选择,一种是原始的Kobayashi-Maskawa(KM)矩阵,另一种是Chau-Keung(CK)矩阵。在Frampton和He的一个新提议中,引入了一个幺正回旋镖来组合两个幺正三角形,并且这个新的表示同时显示了夸克扇区中KM参数化的所有四个独立参数。本文研究了KM参数化与CK参数化之间的关系,并考虑了KM参数化中的夸克-轻子互补性。讨论了夸克扇区中CK参数化和KM参数化情况下的么正性回飞棒,并与之进行了比较。然后,我们将幺正性回飞棒的概念推广到轻子扇区,并在两种参数化情况下检验了相应的幺正性回飞棒。

英文摘要:

The most popular way to present mixing matrices of quarks (CKM) and leptons (PMNS) is the parametrization with three mixing angles and one CP-violating phase. There are two major options in this kind of parametrizations, one is the original Kobayashi-Maskawa (KM) matrix, and the other is the Chau-Keung (CK) matrix. In a new proposal by Frampton and He, a unitarity boomerang is introduced to combine two unitarity triangles, and this new presentation displays all four independent parameters of the KM parametrization in the quark sector simultaneously. In this paper, we study the relations between KM and CK parametrizations, and also consider the quark-lepton complementarity (QLC) in the KM parametrization. The unitarity boomerang is discussed in the situation of the CK parametrization for comparison with that in the KM parametrization in the quark sector. Then we extend the idea of unitarity boomerang to the lepton sector, and check the corresponding unitarity boomerangs in the two cases of parametrizations.

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