{
  "id": "0907.1496",
  "version": "v2",
  "published": "2009-07-09T11:16:41.000Z",
  "updated": "2010-01-13T10:56:04.000Z",
  "title": "Radiative and Semileptonic B Decays Involving Higher K-Resonances in the Final States",
  "authors": [
    "Hisaki Hatanaka",
    "Kwei-Chou Yang"
  ],
  "comment": "27 pages, 4 figures, 7 tables;contents and figures corrected, title and references revised",
  "categories": [
    "hep-ph",
    "hep-ex"
  ],
  "abstract": "We study the radiative and semileptonic B decays involving a spin-$J$ resonant $K_J^{(*)}$ with parity $(-1)^J$ for $K_J^*$ and $(-1)^{J+1}$ for $K_J$ in the final state. Using the large energy effective theory (LEET) techniques, we formulate $B \\to K_J^{(*)}$ transition form factors in the large recoil region in terms of two independent LEET functions $\\zeta_\\perp^{K_J^{(*)}}$ and $\\zeta_\\parallel^{K_J^{(*)}}$, the values of which at zero momentum transfer are estimated in the BSW model. According to the QCD counting rules, $\\zeta_{\\perp,\\parallel}^{K_J^{(*)}}$ exhibit a dipole dependence in $q^2$. We predict the decay rates for $B \\to K_J^{(*)} \\gamma$, $B \\to K_J^{(*)} \\ell^+ \\ell^-$ and $B \\to K_J^{(*)}\\nu \\bar{\\nu}$. The branching fractions for these decays with higher $K$-resonances in the final state are suppressed due to the smaller phase spaces and the smaller values of $\\zeta^{K_J^{(*)}}_{\\perp,\\parallel}$. Furthermore, if the spin of $K_J^{(*)}$ becomes larger, the branching fractions will be further suppressed due to the smaller Clebsch-Gordan coefficients defined by the polarization tensors of the $K_J^{(*)}$. We also calculate the forward backward asymmetry of the $B \\to K_J^{(*)} \\ell^+ \\ell^-$ decay, for which the zero is highly insensitive to the $K$-resonances in the LEET parametrization.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-13T10:56:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13.20.He",
      "14.40.Ev",
      "12.39.Hg"
    ],
    "keywords": [
      "final state",
      "higher k-resonances",
      "semileptonic",
      "large recoil region",
      "independent leet functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1140/epjc/s10052-010-1293-7",
      "journal": "European Physical Journal C",
      "year": 2010,
      "month": "May",
      "volume": 67,
      "number": "1-2",
      "pages": 149
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 825272,
      "adsabs": "2010EPJC...67..149H"
    }
  }
}