{
  "id": "2403.14294",
  "version": "v1",
  "published": "2024-03-21T11:00:20.000Z",
  "updated": "2024-03-21T11:00:20.000Z",
  "title": "Electron-positron annihilation into $K\\bar{K}π$ and their contributions to $(g-2)_μ$",
  "authors": [
    "Bing-Hai Qin",
    "Wen Qin",
    "Ling-Yun Dai"
  ],
  "comment": "13 pages, 2 figures",
  "categories": [
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "In this paper, a coherent study of the $e^+e^-$ annihilation into $K^+K^-\\pi^0$, $K^0_SK^0_L\\pi^0$ and $K^0_SK^\\pm\\pi^\\mp$ is carried out within the framework of resonance chiral theory. The amplitudes are fixed by fitting to the experimental cross-section and invariant mass spectrum. With these amplitudes, one can calculate the hadronic vacuum polarization form factors of these processes. The leading order contributions of $\\sigma(e^+e^- \\to K\\bar{K}\\pi)$ to the anomalous magnetic moment of the muon, $(g-2)_\\mu$, is obtained as $a_\\mu^{\\rm HVP,LO}(e^+e^- \\to K\\bar{K}\\pi)=(3.07\\pm0.07)\\times10^{-10}$ up to $E_{\\rm cm}=2.3$ GeV.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-21T11:00:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electron-positron annihilation",
      "hadronic vacuum polarization form factors",
      "resonance chiral theory",
      "invariant mass spectrum",
      "amplitudes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}