{ "id": "hep-ph/0211376", "version": "v2", "published": "2002-11-24T23:04:34.000Z", "updated": "2003-09-19T08:45:51.000Z", "title": "Matching functions for heavy particles", "authors": [ "S. D. Bass", "R. J. Crewther", "F. M. Steffens", "A. W. Thomas" ], "comment": "Revised version to be published in Physical Review D; added section with application to decoupling of heavy particles in non-asymptotically free theories", "journal": "Phys.Rev.D68:096005,2003", "doi": "10.1103/PhysRevD.68.096005", "categories": [ "hep-ph" ], "abstract": "We introduce matching functions as a means of summing heavy-quark logarithms to any order. Our analysis is based on Witten's approach, where heavy quarks are decoupled one at a time in a mass-independent renormalization scheme. The outcome is a generalization of the matching conditions of Bernreuther and Wetzel: we show how to derive closed formulas for summed logarithms to any order, and present explicit expressions for leading order and next-to-leading order contributions. The decoupling of heavy quarks in theories lacking asymptotic freedom is also considered.", "revisions": [ { "version": "v2", "updated": "2003-09-19T08:45:51.000Z" } ], "analyses": { "subjects": [ "12.39.Hg", "12.38.Cy", "11.10.Hi" ], "keywords": [ "matching functions", "heavy particles", "heavy quarks", "mass-independent renormalization scheme", "theories lacking asymptotic freedom" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 602953 } } }