{
  "id": "hep-ph/9906429",
  "version": "v2",
  "published": "1999-06-18T18:27:01.000Z",
  "updated": "2000-01-22T01:23:59.000Z",
  "title": "The CP violating phase δ_{13} and the quark mixing angles θ_{13}, θ_{23} and θ_{12} from flavour permutational symmetry breaking",
  "authors": [
    "A. Mondragon",
    "E. Rodriguez-Jauregui"
  ],
  "comment": "25 pages, we added an estimation of a reasonable range of values for the quark mass ratios and the corresponding quark mixing matrix elements. Accepted in Phys. Rev. D, 01 April 2000",
  "journal": "Phys.Rev. D61 (2000) 113002",
  "doi": "10.1103/PhysRevD.61.113002",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The phase equivalence of the theoretical mixing matrix ${\\bf V}^{th}$ derived from the breaking of the flavour permutational symmetry and the standard parametrization ${\\bf V}^{PDG}$ advocated by the Particle Data Group is explicitly exhibited. From here, we derive exact explicit expressions for the three mixing angles $\\theta_{12}$, $\\theta_{13}$, $\\theta_{23}$, and the CP violating phase $\\delta_{13}$ in terms of the quark mass ratios $(m_{u}/m_{t}, m_{c}/m_{t}, m_{d}/m_{b}, m_{s}/m_{b})$ and the parameters $Z^{*1/2}$ and $\\Phi^*$ characterizing the preferred symmetry breaking pattern. The computed values for the CP violating phase and the mixing angles are: $\\delta^*_{13}=75^\\circ$, $\\sin\\theta^*_{12}=0.221$, $\\sin\\theta^*_{13}=0.0034$, and $\\sin\\theta^*_{23}=0.040$, which coincide almost exactly with the central values of the experimentally determined quantities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-01-22T01:23:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cp violating phase",
      "flavour permutational symmetry breaking",
      "quark mixing angles",
      "particle data group",
      "derive exact explicit expressions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 502041
    }
  }
}