{
  "id": "1401.2735",
  "version": "v2",
  "published": "2014-01-13T07:29:03.000Z",
  "updated": "2014-04-06T09:58:52.000Z",
  "title": "Bottomonium production associated with a photon at a high luminosity $e^+e^-$ collider with next-to-leading order QCD corrections",
  "authors": [
    "Zhan Sun",
    "Xing-Gang Wu",
    "Gu Chen",
    "Yang Ma",
    "Hong-Hao Ma",
    "Huan-Yu Bi"
  ],
  "comment": "15 pages, 9 figures. Discussions improved, to be published in Phys.Rev.D",
  "journal": "Phys. Rev. D 89 (2014) 074035",
  "doi": "10.1103/PhysRevD.89.074035",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We make a detailed discussion on the one-loop QCD correction to the bottomonium production associated with a photon, i.e. via the channel $e^{+}e^{-} \\to\\gamma^*/Z^0 \\to |H_{b\\bar{b}}\\rangle + \\gamma$, where $|H_{b\\bar{b}}\\rangle$ stands for the color-singlet bottomonium state as $\\eta_b$, $\\Upsilon$, $h_b$ or $\\chi_{bJ}$ ($J$=0, 1 or 2), respectively. At the super $Z$ factory with the collision energy $E_{cm} \\sim m_Z$, by summing up the cross sections for all bottomonium states, we obtain a large one-loop QCD correction, i.e. $|R|\\sim 30\\%$. This ensures the necessity and importance of the one-loop QCD corrections for the present processes. Further more, for the $\\eta_b$, $h_b$ and $\\chi_{bJ}$ production, their cross sections are dominated by the $s$-channel diagrams and are enhanced by the $Z^0$ boson resonance effect when $E_{cm}\\sim m_Z$. While, for the $\\Upsilon$ production, such resonance effect shall be smeared by a large $t(u)$-channel contribution that dominant over the $s$-channel one. Theoretical uncertainties caused by slight change of $E_{cm}$, the $b$-quark mass, the renormalization scale and etc. have been presented. At the super $Z$ factory with a high luminosity up to ${\\cal L}=10^{36}{\\rm cm}^{-2}{\\rm s}^{-1}$, the bottomonium plus one photon events are sizable, especially for $\\eta_b$ and $\\Upsilon$, which have large signal significance. Summing up all bottomonium states, we shall totally have $\\sim 3.8\\times10^{5}$ bottomonium events in one operation year. So, the super $Z$ factory shall provide a good platform for studying the bottomonium properties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-06T09:58:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.40.Nd",
      "12.38.Bx",
      "12.39.Jh",
      "13.66.Bc"
    ],
    "keywords": [
      "next-to-leading order qcd corrections",
      "bottomonium production",
      "high luminosity",
      "one-loop qcd correction",
      "bottomonium state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2014,
      "month": "Apr",
      "volume": 89,
      "number": 7,
      "pages": "074035"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1276844,
      "adsabs": "2014PhRvD..89g4035S"
    }
  }
}