{
  "id": "2310.20429",
  "version": "v1",
  "published": "2023-10-31T13:04:00.000Z",
  "updated": "2023-10-31T13:04:00.000Z",
  "title": "Revisiting $K_1(1270)- K_1(1400)$ mixing in QCD sum rules",
  "authors": [
    "Yu-Ji Shi",
    "Jun Zeng",
    "Zhi-Fu Deng"
  ],
  "comment": "14 pages, 7 figures and 1 table",
  "categories": [
    "hep-ph",
    "hep-ex"
  ],
  "abstract": "We investigate the $K_1(1270)-K_1(1400)$ mixing caused by the flavor $SU(3)$ symmetry breaking. The mixing angle is expressed by a $K_{1A}\\to K_{1B}$ matrix element induced by the operators that breaks flavor $SU(3)$ symmetry. The QCD contribution to this matrix element is assumed to be dominated and calculated by QCD sum rules. A three-point correlation function is defined and handled both at the hadron and quark-gluon levels. The quark-gluon level calculation is based on operator product expansion up to dimension-5 condensates. A detailed numerical analysis is performed to determine the Borel parameters, and the obtained mixing angle is $\\theta_{K_1}=22^{\\circ}\\pm 7^{\\circ}$ or $\\theta_{K_1}=68^{\\circ}\\pm 7^{\\circ}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-31T13:04:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "qcd sum rules",
      "matrix element",
      "mixing angle",
      "three-point correlation function",
      "quark-gluon level calculation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}