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arXiv 1206.7108hep-phmath.GR
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三重Higgs模型中的离散对称性

Discrete symmetries in the three-Higgs-doublet model

I. P. Ivanov, E. Vdovin

摘要:

N-Higgs-doublet模型(NHDM)是超越标准模型的电弱对称性破缺机制中最流行的例子之一。施加在NHDM标量势上的离散对称性在塑造模型的现象学中起着关键作用,迄今为止已经研究了各种对称群。然而,尽管所有的努力,分类有限希格斯家族对称群实现NHDM的任何N>2仍然失踪。在这里,我们解决了这个问题的三希格斯偶极子模型利用伯恩赛德定理和其他结果,从纯有限群理论,这是很少利用物理。我们的方法和结果也可以用于高能物理之外,例如,在三带超导体中可能的对称性的研究。

英文摘要:

N-Higgs-doublet models (NHDM) are among the most popular examples of electroweak symmetry breaking mechanisms beyond the Standard Model. Discrete symmetries imposed on the NHDM scalar potential play a pivotal role in shaping the phenomenology of the model, and various symmetry groups have been studied so far. However, in spite of all efforts, the classification of finite Higgs-family symmetry groups realizable in NHDM for any N>2 is still missing. Here, we solve this problem for the three-Higgs-doublet model by making use of Burnside's theorem and other results from pure finite group theory which are rarely exploited in physics. Our method and results can be also used beyond high-energy physics, for example, in study of possible symmetries in three-band superconductors.

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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