S. D. Bass, R. J. Crewther, F. M. Steffens, A. W. Thomas
Published 2002-11-24, updated 2003-09-19Version 2
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.
Comments: 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
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