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Matching functions for heavy particles

S. D. Bass·R. J. Crewther·F. M. Steffens·A. W. Thomas
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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.

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S. D. Bass, R. J. Crewther, F. M. Steffens, A. W. Thomas. 2003-09-19. Matching functions for heavy particles. https://doi.org/10.1103/physrevd.68.096005

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