{
  "id": "1808.04154",
  "version": "v1",
  "published": "2018-08-13T11:27:08.000Z",
  "updated": "2018-08-13T11:27:08.000Z",
  "title": "Topological terms in Composite Higgs Models",
  "authors": [
    "Joe Davighi",
    "Ben Gripaios"
  ],
  "comment": "26 pages",
  "categories": [
    "hep-ph",
    "hep-th"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-13T11:27:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "composite higgs models",
      "topological terms",
      "field theory generalization",
      "quantum mechanics",
      "phenomenology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}