{
  "id": "hep-ph/9508246",
  "version": "v1",
  "published": "1995-08-06T03:17:56.000Z",
  "updated": "1995-08-06T03:17:56.000Z",
  "title": "Numerical solution of $Q^2$ evolution equations in a brute-force method",
  "authors": [
    "M. Miyama",
    "S. Kumano"
  ],
  "comment": "48 pages, LATEX, figs. 1-6. Complete postscript file including the figure is available at ftp://ftp.cc.saga-u.ac.jp/pub/paper/riko/quantum1/saga-he-81.ps.gz or at http://www.cc.saga-u.ac.jp/saga-u/riko/physics/quantum1/structure.html (We had a problem in taking a file in WWW, but the problem was fixed recently.) Email: 94sm10 or kumanos@cc.saga-u.ac.jp",
  "journal": "Comput.Phys.Commun. 94 (1996) 185-215",
  "doi": "10.1016/0010-4655(96)00013-6",
  "categories": [
    "hep-ph",
    "hep-ex",
    "nucl-th"
  ],
  "abstract": "We investigate numerical solution of $Q^2$ evolution equations for structure functions in the nucleon and in nuclei. (Dokshitzer-Gribov-Lipatov-)Altarelli-Parisi and Mueller-Qiu evolution equations are solved in a brute-force method. Spin-independent flavor-nonsinglet and singlet equations with next-to-leading-order $\\alpha_s$ corrections are studied. Dividing the variables $x$ and $Q^2$ into small steps, we simply solve the integrodifferential equations. Numerical results indicate that accuracy is better than 2\\% in the region $10^{-4}<x<0.8$ if more than two-hundred $Q^2$ steps and more than one-thousand $x$ steps are taken. The numerical solution is discussed in detail, and evolution results are compared with $Q^2$ dependent data in CDHSW, SLAC, BCDMS, EMC, NMC, Fermilab-E665, ZEUS, and H1 experiments. We provide a FORTRAN program for Q$^2$ evolution (and ``devolution'') of nonsinglet-quark, singlet-quark, $q_i+\\bar q_i$, and gluon distributions (and corresponding structure functions) in the nucleon and in nuclei. This is a very useful program for studying spin-independent structure functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-08-06T03:17:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical solution",
      "brute-force method",
      "studying spin-independent structure functions",
      "mueller-qiu evolution equations",
      "dependent data"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Comput. Phys. Commun."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 397989
    }
  }
}