{
  "id": "1210.5279",
  "version": "v2",
  "published": "2012-10-18T23:25:57.000Z",
  "updated": "2013-03-18T14:15:44.000Z",
  "title": "The effect of S-wave interference on the $B^0 \\to K^{\\ast 0}\\ell^+\\ell^-$ angular observables",
  "authors": [
    "Thomas Blake",
    "Ulrik Egede",
    "Alex Shires"
  ],
  "comment": "20 pages",
  "journal": "JHEP 03 (2013) 027",
  "doi": "10.1007/JHEP03(2013)027",
  "categories": [
    "hep-ph"
  ],
  "abstract": "The rare decay $B^0 \\to K^{\\ast 0}\\ell^+\\ell^-$ is a flavour changing neutral current decay with a high sensitivity to physics beyond the Standard Model. Nearly all theoretical predictions and all experimental measurements so far have assumed a $K^{\\ast 0}$ P-wave that decays into the $K^+\\pi^-$ final state. In this paper the addition of an S-wave within the $K^+\\pi^-$ system of $B^0 \\to K^{\\ast 0}\\ell^+\\ell^-$ and the subsequent impact of this on the angular distribution of the final state particles is explored. The inclusion of the S-wave causes a distinction between the values of the angular observables obtained from counting experiments and those obtained from fits to the angular distribution. The effect of a non-zero S-wave on an angular analysis of $B^0 \\to K^{\\ast 0}\\ell^+\\ell^-$ is assessed as a function of dataset size and the relative size of the S-wave amplitude. An S-wave contribution, equivalent to what is measured in $B^0 \\to J/\\psi K^{\\ast 0}$ at BaBar, leads to a significant bias on the angular observables for datasets of above 200 signal decays. Any future experimental analysis of the $K^+\\pi^-\\ell^+\\ell^-$ final state will have to take the S-wave contribution into account.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-18T14:15:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "angular observables",
      "s-wave interference",
      "s-wave contribution",
      "flavour changing neutral current decay",
      "angular distribution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Journal of High Energy Physics",
      "year": 2013,
      "month": "Mar",
      "volume": 2013,
      "pages": 27
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1191907,
      "adsabs": "2013JHEP...03..027B"
    }
  }
}