arXiv 1701.047682017-01hep-ph

探测多Higgs模型中自发CP破坏的一种简单方法

A Simple Method to detect spontaneous CP Violation in multi-Higgs models

O. M. Ogreid, P. Osland, M. N. Rebelo

备注：: 9 pages, no figures. v2: minor changes, matching JHEP version
DOI：: 10.1007/JHEP08(2017)005

摘要：

对于模型与几个希格斯二重态，我们提出了一种替代方法提出的Branco，Gerard和Grimus，在1984年，检查CP是否自发违反希格斯势。前一种方法是强大而严格的。它需要识别一个矩阵$U$对应的对称性的拉格朗日和验证一个简单的关系，涉及真空的期望值。这种矩阵的不存在表示自发的CP破坏。然而，随着希格斯双重态数量的增加，找到这样的矩阵$U$可能并不简单，并且通过所谓的希格斯基来分析势可能会更容易。一旦真空期望值已知，到希格斯基的转换就很简单了。在这项工作中提出的方法也是强大的和严格的，可以特别有用的分析模型与两个以上的希格斯二重态和连续对称性。

英文摘要：

For models with several Higgs doublets we present an alternative method to the one proposed by Branco, Gerard and Grimus, in 1984, to check whether or not CP is spontaneously violated in the Higgs potential. The previous method is powerful and rigorous. It requires the identification of a matrix $U$ corresponding to a symmetry of the Lagrangian and verifying a simple relation involving the vacuum expectation values. The nonexistence of such a matrix signals spontaneous CP violation. However, as the number of Higgs doublets increases, finding such a matrix $U$ may not be straightforward and it may turn out to be easier to analyse the potential by going to the so-called Higgs basis. The transformation to the Higgs basis is straightforward once the vacuum expectation values are known. The method proposed in this work is also powerful and rigorous and can be particularly useful to analyse models with more than two Higgs doublets and with continuous symmetries.

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