Matching functions for heavy particles

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.

Revised version to be published in Physical Review D; added section with application to decoupling of heavy particles in non-asymptotically free theories

References in corpus (1)

• Heavy-quark axial charges to non-leading order

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