Matching functions for heavy particles

Details Matching functions for heavy particles Matching functions for heavy particles

2002-11-24

arxiv.org/abs/hep-ph/0211376v2

Phys.Rev.D68:096005,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.68.096005

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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