{
  "id": "2401.09161",
  "version": "v1",
  "published": "2024-01-17T12:10:49.000Z",
  "updated": "2024-01-17T12:10:49.000Z",
  "title": "A description of $χ_{cJ}\\to VV$ decays within the effective field theory framework",
  "authors": [
    "Nikolay Kivel"
  ],
  "comment": "34 pages, 3 figures",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We study $\\chi_{cJ}\\to VV$ decays using the QCD effective field theory approach. The helicity suppressed decay amplitudes are also considered. The colour-singlet contributions of these amplitudes suffer from the endpoint singularities, it is shown that they can be absorbed into renormalisation of the nonfactorisable colour-octet matrix element. The latter can be associated with the colour-octet component of the charmonium wave function. The heavy quark spin symmetry makes it possible to establish the relationships between colour-octet matrix elements for different states $\\chi_{cJ}$ up to higher order corrections in small velocity $v$. This allows us to estimate the polarisation parameters for $\\chi_{c2}\\to VV$ using data for $\\chi_{c0,1}\\to VV$. This analysis is carried out for the available data on the $\\chi_{cJ}\\to \\phi\\phi$ decays.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-17T12:10:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "effective field theory framework",
      "colour-octet matrix element",
      "heavy quark spin symmetry",
      "description",
      "qcd effective field theory approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}