标题： 三重Higgs双线模型中的离散对称性 显示英文标题

标题： Discrete symmetries in the three-Higgs-doublet model

摘要： N-Higgs-双矢量模型（NHDM）是超越标准模型的电弱对称性破缺机制中最受欢迎的例子之一。 对NHDM标量势施加的离散对称性在塑造该模型的物理现象中起着关键作用，迄今为止已经研究了各种对称群。 然而，尽管付出了诸多努力，对于任意N > 2的NHDM中可实现的有限Higgs族对称群的分类仍然缺失。 在这里，我们利用伯恩赛德定理及其他纯有限群论的结果解决了三Higgs双矢量模型中的这一问题，这些结果在物理学中很少被利用。 我们的方法和结果也可以用于高能物理之外的研究领域，例如三带超导体中可能存在的对称性研究。 显示英文摘要

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.