arXiv 1808.041542018-08hep-phhep-th

复合Higgs模型中的拓扑项

Topological terms in Composite Higgs Models

Joe Davighi, Ben Gripaios

备注：: 26 pages. Version accepted for publication in JHEP
DOI：: 10.1007/JHEP11(2018)169

摘要：

我们应用最近的分类拓扑作用项复合希格斯模型的基础上，各种陪集空间$G/H$，并讨论其现象学。拓扑项都可以通过积分（可能只是局部定义的）微分形式获得，有两种类型，对现象学有着本质上不同的结果。第一类项（出现在基于$SO(5)/SO(4)$的最小模型中）是量子力学中Aharonov-Bohm相的场论推广。这一项的唯象效应只出现在非微扰的水平上，并导致Higgs扇区的$P$和$CP$破坏。第二类项（出现在基于$SO(6)/SO(5)$的模型中）是量子力学中狄拉克算符的场论推广，甚至在经典水平上也有物理效应。也许最重要的是，测量这样一个项的系数可以让人们探索潜在的微观理论的结构。基于$SO(6)/SO(4)$的模型具有丰富的拓扑结构，包含2个Higgs双峰和1个单重态，具有6个不同的项.在相应的耦合中，一个是整数，一个是相位。

英文摘要：

We apply a recent classification of topological action terms to Composite Higgs models based on a variety of coset spaces $G/H$ and discuss their phenomenology. The topological terms, which can all be obtained by integrating (possibly only locally-defined) differential forms, come in one of two types, with substantially differing consequences for phenomenology. The first type of term (which appears in the minimal model based on $SO(5)/SO(4)$) is a field theory generalization of the Aharonov-Bohm phase in quantum mechanics. The phenomenological effects of such a term arise only at the non-perturbative level, and lead to $P$ and $CP$ violation in the Higgs sector. The second type of term (which appears in the model based on $SO(6)/SO(5)$) is a field theory generalization of the Dirac monopole in quantum mechanics and has physical effects even at the classical level. Perhaps most importantly, measuring the coefficient of such a term can allow one to probe the structure of the underlying microscopic theory. A particularly rich topological structure, with 6 distinct terms, is uncovered for the model based on $SO(6)/SO(4)$, containing 2 Higgs doublets and a singlet. Of the corresponding couplings, one is an integer and one is a phase.

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