{
  "id": "0910.2314",
  "version": "v2",
  "published": "2009-10-13T16:16:50.000Z",
  "updated": "2010-03-28T12:47:39.000Z",
  "title": "CP Violation due to Compactification",
  "authors": [
    "C. S. Lim",
    "Nobuhito Maru",
    "Kenji Nishiwaki"
  ],
  "comment": "22 pages, 6 figures, Final version to appear in PRD",
  "journal": "Phys.Rev.D81:076006,2010",
  "doi": "10.1103/PhysRevD.81.076006",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We address the challenging issue of how CP violation is realized in higher dimensional gauge theories without higher dimensional elementary scalar fields. In such theories interactions are basically governed by a gauge principle and therefore to get CP violating phases is a non-trivial task. It is demonstrated that CP violation is achieved as the result of compactification of extra dimensions, which is incompatible with the 4-dimensional CP transformation. As a simple example we adopt a 6-dimensional U(1) model compactified on a 2-dimensional orbifold $T^{2}/Z_{4}$. We argue that the 4-dimensional CP transformation is related to the complex structure of the extra space and show how the $Z_{4}$ orbifolding leads to CP violation. We confirm by explicit calculation of the interaction vertices that CP violating phases remain even after the re-phasing of relevant fields. For completeness, we derive a re-phasing invariant CP violating quantity, following a similar argument in the Kobayashi-Maskawa model which led to the Jarlskog parameter. As an example of a CP violating observable we briefly comment on the electric dipole moment of the electron.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-28T12:47:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.15.-q",
      "11.30.Er",
      "11.10.Kk"
    ],
    "keywords": [
      "cp violation",
      "invariant cp violating quantity",
      "cp violating phases",
      "higher dimensional elementary scalar fields",
      "compactification"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2010,
      "month": "Apr",
      "volume": 81,
      "number": 7,
      "pages": "076006"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 833787,
      "adsabs": "2010PhRvD..81g6006L"
    }
  }
}