{
  "id": "hep-ph/0112281",
  "version": "v2",
  "published": "2001-12-20T17:57:11.000Z",
  "updated": "2002-02-17T01:43:27.000Z",
  "title": "Rescattering and chiral dynamics in B\\to ρπdecay",
  "authors": [
    "S. Gardner",
    "Ulf-G. Meißner"
  ],
  "comment": "26 pages, 8 figs, published version. typos fixed, minor changes",
  "journal": "Phys.Rev.D65:094004,2002",
  "doi": "10.1103/PhysRevD.65.094004",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We examine the role of B^0(\\bar B^0) \\to \\sigma \\pi^0 \\to \\pi^+\\pi^- \\pi^0 decay in the Dalitz plot analysis of B^0 (\\bar B^0) \\to \\rho\\pi \\to \\pi^+\\pi^-\\pi^0 decays, employed to extract the CKM parameter \\alpha. The \\sigma \\pi channel is significant because it can break the relationship between the penguin contributions in B\\to\\rho^0\\pi^0, B\\to\\rho^+\\pi^-, and B\\to\\rho^-\\pi^+ decays consequent to an assumption of isospin symmetry. Its presence thus mimics the effect of isospin violation. The \\sigma\\pi^0 state is of definite CP, however; we demonstrate that the B\\to\\rho\\pi analysis can be generalized to include this channel without difficulty. The \\sigma or f_0(400-1200) ``meson'' is a broad I=J=0 enhancement driven by strong \\pi\\pi rescattering; a suitable scalar form factor is constrained by the chiral dynamics of low-energy hadron-hadron interactions - it is rather different from the relativistic Breit-Wigner form adopted in earlier B\\to\\sigma\\pi and D\\to\\sigma\\pi analyses. We show that the use of this scalar form factor leads to an improved theoretical understanding of the measured ratio Br(\\bar B^0 \\to \\rho^\\mp \\pi^\\pm) / Br(B^-\\to \\rho^0 \\pi^-).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-02-17T01:43:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.39.Fe",
      "14.40.Cs",
      "11.30.Er",
      "13.25.Hw"
    ],
    "keywords": [
      "chiral dynamics",
      "rescattering",
      "dalitz plot analysis",
      "suitable scalar form factor",
      "low-energy hadron-hadron interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. D"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 568760
    }
  }
}