Matching functions for heavy particles
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(Published version)
Date
2003
Authors
Bass, S.
Crewther, R.
Steffens, F.
Thomas, A.
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Physical Review D: Particles, Fields, Gravitation and Cosmology, 2003; 68(9):096005-1-096005-13
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S. D. Bass, R. J. Crewther, F. M. Steffens, and 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 particles in theories lacking asymptotic freedom is also considered.
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©2003 American Physical Society