{
  "id": "hep-ph/9407400",
  "version": "v1",
  "published": "1994-07-29T14:12:54.000Z",
  "updated": "1994-07-29T14:12:54.000Z",
  "title": "Implications of factorization for the determination of hadronic form factors in $D_s^+ \\ra φ$ transition",
  "authors": [
    "M. Gourdin",
    "A. N. Kamal",
    "Y. Y. Keum",
    "X. Y. Pham"
  ],
  "comment": "Latex 10 pages( 4 figures), PAR/LPTHE/94-30",
  "journal": "Phys.Lett. B339 (1994) 173-180",
  "doi": "10.1016/0370-2693(94)91151-7",
  "categories": [
    "hep-ph"
  ],
  "abstract": "Using factorization we determine the allowed domains of the ratios of form factors, $x = A_2(0)/A_1(0)$ and $y = V(0)/A_1(0)$, from the experimentally measured ratio $R_h \\equiv \\Gamma(D_s^+ \\ra \\phi \\rho^+)/\\Gamma(D_s^+ \\ra \\phi \\pi^+)$ assuming three different scenarios for the $q^2$-dependence of the form factors. We find that the allowed domains overlap with those obtained by using the experimentally measured ratio $R_{s\\ell} = \\Gamma(D^+_s \\ra \\phi \\ell^+ \\nu_{\\ell})/\\Gamma(D^+_s \\ra \\phi \\pi^+)$ provided that the phenomenological parameter $a_1$ is $1.23$. Such a comparison presents a genuine test of factorization. We calculate the longitudinal polarization fraction, $\\Gamma_L/\\Gamma \\equiv \\Gamma(D_s^+ \\ra \\phi_L \\rho^+_L)/\\Gamma(D_s^+ \\ra \\phi \\rho^+)$, in the three scenarios for the $q^2$-dependence of the form factors and emphasize the importance of measuring $\\Gamma_L/\\Gamma $. Finally we discuss the $q^2$-distribution of the semileptonic decay and find that it is rather insensitive to the scenarios for the $q^2$-dependence of the form factors, and unless very accurate data can be obtained it is unlikely to discriminate between the different scenarios. Useful information on the value of $x$ might be obtained by the magnitude of the $q^2$-distribution near $q^2 = 0$. However the most precise information on $x$ and $y$ would come from the knowledge of the longitudinal and left-right transverse polarizations of the final vector mesons in hadronic and/or semileptonic decays.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-07-29T14:12:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hadronic form factors",
      "factorization",
      "implications",
      "transition",
      "determination"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 375288
    }
  }
}