{
  "id": "1508.04254",
  "version": "v1",
  "published": "2015-08-18T09:23:27.000Z",
  "updated": "2015-08-18T09:23:27.000Z",
  "title": "Analysis of exclusive $k_T$ jet algorithms in electron-positron annihilation",
  "authors": [
    "Junegone Chay",
    "Chul Kim",
    "Inchol Kim"
  ],
  "comment": "35 pages, 9 figures",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We study the factorization of the dijet cross section in $e^+ e^-$ annihilation using the generalized exclusive jet algorithm which includes the cone-type, the JADE, the $k_T$, the anti-$k_T$ and the Cambridge/Aachen jet algorithms as special cases. In order to probe the characteristics of the jet algorithms in a unified way, we consider the generalized $k_T$ jet algorithm with an arbitrary weight of the energies, in which various types of the $k_T$-type algorithms are included for specific values of the parameter. We show that the jet algorithm respects the factorization property for the parameter $\\alpha <2$. The factorized jet function and the soft function are well defined and infrared safe for all the jet algorithms except the $k_T$ algorithm. The $k_T$ algorithm ($\\alpha=2$) breaks the factorization since the jet and the soft functions are infrared divergent and are not defined for $\\alpha=2$, though the dijet cross section is infrared finite. In the jet algorithms which enable factorization, we give a phenomenological analysis using the resummed and the fixed-order results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-18T09:23:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.-t",
      "12.38.Bx",
      "12.38.Cy"
    ],
    "keywords": [
      "electron-positron annihilation",
      "dijet cross section",
      "soft function",
      "factorization",
      "cambridge/aachen jet algorithms"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.92.074019"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1388377
    }
  }
}