{
  "id": "0805.0329",
  "version": "v3",
  "published": "2008-05-04T07:44:28.000Z",
  "updated": "2008-10-09T06:28:33.000Z",
  "title": "Branching Ratios and Polarization in B-> VV,VA,AA Decays",
  "authors": [
    "Hai-Yang Cheng",
    "Kwei-Chou Yang"
  ],
  "comment": "58 pages, 2 figures. The charm quark mass in the penguin loop corrections is changed to the pole mass one. Fig. 1 and all the numerical results in Tables IX-XI and the content are revised accordingly. Version to appear in PRD",
  "journal": "Phys.Rev.D78:094001,2008",
  "doi": "10.1103/PhysRevD.78.094001",
  "categories": [
    "hep-ph",
    "hep-ex"
  ],
  "abstract": "We present a detailed study of charmless two-body B decays into final states involving two vector mesons (VV) or two axial-vector mesons (AA) or one vector and one axial-vector meson (VA), within the framework of QCD factorization, where $A$ is either a $^3P_1$ or $^1P_1$ axial-vector meson. The main results are as follows. (i) In the presence of NLO nonfactorizable corrections, effective Wilson coefficients $a_i^h$ are helicity dependent. For some penguin-dominated modes, the constructive (destructive) interference in the negative-helicity (longitudinal-helicity) amplitude of the $B\\to VV$ decay will render the former comparable to the latter and push up the transverse polarization. (ii) In QCD factorization, the transverse polarization fraction can be large for penguin-dominated charmless $VV$ modes by allowing for sizable penguin annihilation contributions. (iii) Using the measured $\\bar K^{*0}\\rho^-$ channel as an input, we predict the branching ratios and polarization fractions for other $\\ov B\\to \\bar K^*\\rho$ decays. (iv) The smallness of the axial-vector decay constant of the $^1P_1$ axial vector meson can be tested by measuring various $b_1\\rho$ modes to see if $\\Gamma(\\bar B^0\\to b_1^-\\rho^+)\\ll \\Gamma(\\bar B^0\\to b_1^+\\rho^-)$ and $\\Gamma(B^-\\to b_1^-\\rho^0)\\ll \\Gamma(B^-\\to b_1^0\\rho^-)$. (v) For the penguin-dominated modes $a_1K^*$ and $b_1K^*$, it is found that the former are dominated by transverse polarization amplitudes, whereas the latter are governed by longitudinal polarization states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-10-09T06:28:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.40.-n",
      "12.38.Bx",
      "99.10.Cd",
      "13.25.Hw"
    ],
    "keywords": [
      "branching ratios",
      "aa decays",
      "axial-vector meson",
      "qcd factorization",
      "longitudinal polarization states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 9,
      "pages": "094001"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 784935,
      "adsabs": "2008PhRvD..78i4001C"
    }
  }
}