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arXiv 0709.1439hep-ph
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格片不变量与夸克和中微子混合的味对称描述

Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings

P. F. Harrison, D. R. J. Roythorne, W. G. Scott

摘要:

我们提出了一套完整的新的味置换对称混合观测量。我们给这些“plaquette不变量”的表达式,无论是在单独的混合矩阵元素,并在明显Jarlskog不变的费米子质量矩阵的功能。虽然这些量在标准模型中是不受约束的,但我们指出,值得注意的是,在轻子混合的情况下,它们中的大多数的值与零一致,对应于某些唯象对称性。我们给他们的应用程序的味道对称的描述轻子和夸克混合的例子,首次展示了如何构建明确的弱基不变的质量矩阵的约束,一些唯象有效的混合ansatze。

英文摘要:

We present a complete set of new flavour-permutation-symmetric mixing observables. We give expressions for these "plaquette invariants", both in terms of the mixing matrix elements alone, and in terms of manifestly Jarlskog-invariant functions of fermion mass matrices. While these quantities are unconstrained in the Standard Model, we point out that remarkably, in the case of leptonic mixing, the values of most of them are consistent with zero, corresponding to certain phenomenological symmetries. We give examples of their application to the flavour-symmetric description of both lepton and quark mixings, showing for the first time how to construct explicitly weak-basis invariant constraints on the mass matrices, for a number of phenomenologically valid mixing ansatze.

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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