{
  "id": "hep-ph/9808385",
  "version": "v2",
  "published": "1998-08-22T15:31:43.000Z",
  "updated": "1999-05-28T19:11:51.000Z",
  "title": "Next-to-Leading Order QCD Corrections to the Lifetime Difference of $B_s$ Mesons",
  "authors": [
    "M. Beneke",
    "G. Buchalla",
    "C. Greub",
    "A. Lenz",
    "U. Nierste"
  ],
  "comment": "14 pages, LaTeX, 1 figure; minor modifications of the text, improved discussion of eq. (35), all results unchanged",
  "journal": "Phys.Lett.B459:631-640,1999",
  "doi": "10.1016/S0370-2693(99)00684-X",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We compute the QCD corrections to the decay rate difference in the $B_s-\\bar B_s$ system, $\\Delta\\Gamma_{B_s}$, in the next-to-leading logarithmic approximation using the heavy quark expansion approach. Going beyond leading order in QCD is essential to obtain a proper matching of the Wilson coefficients to the matrix elements of local operators from lattice gauge theory. The lifetime difference is reduced considerably at next-to-leading order. We find $(\\Delta\\Gamma/\\Gamma)_{B_s}=(f_{B_s}/210 MeV)^2 [0.006 B(m_b)+0.150 B_S(m_b)-0.063]$ in terms of the bag parameters $B, B_S$ in the NDR scheme. As a further application of our analysis we also derive the next-to-leading order result for the mixing-induced CP asymmetry in inclusive $b\\to u\\bar ud$ decays, which measures $\\sin 2\\alpha$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-05-28T19:11:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Bx",
      "13.25.Hw",
      "14.40.Nd"
    ],
    "keywords": [
      "next-to-leading order qcd corrections",
      "lifetime difference",
      "heavy quark expansion approach",
      "decay rate difference",
      "lattice gauge theory"
    ],
    "tags": [
      "journal article",
      "famous paper"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 475179
    }
  }
}