{
  "id": "1102.5353",
  "version": "v2",
  "published": "2011-02-25T21:25:37.000Z",
  "updated": "2011-10-03T20:05:48.000Z",
  "title": "Regularization Schemes and Higher Order Corrections",
  "authors": [
    "William B. Kilgore"
  ],
  "comment": "References added and typographical errors corrected",
  "journal": "Phys.Rev.D83:114005,2011",
  "doi": "10.1103/PhysRevD.83.114005",
  "categories": [
    "hep-ph"
  ],
  "abstract": "I apply commonly used regularization schemes to a multi-loop calculation to examine the properties of the schemes at higher orders. I find complete consistency between the conventional dimensional regularization scheme and dimensional reduction, but I find that the four dimensional helicity scheme produces incorrect results at next-to-next-to-leading order and singular results at next-to-next-to-next-to-leading order. It is not, therefore, a unitary regularization scheme.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-03T20:05:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.70.Dj",
      "12.38.Bx",
      "11.15.Bt",
      "11.10.Gh"
    ],
    "keywords": [
      "higher order corrections",
      "helicity scheme produces incorrect results",
      "dimensional helicity scheme produces incorrect",
      "conventional dimensional regularization scheme"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review D",
      "year": 2011,
      "month": "Jun",
      "volume": 83,
      "number": 11,
      "pages": 114005
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 890933,
      "adsabs": "2011PhRvD..83k4005K"
    }
  }
}