Matching functions for heavy particles
High Energy Physics - Phenomenology
2010-03-26 v2
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.
Cite
@article{arxiv.hep-ph/0211376,
title = {Matching functions for heavy particles},
author = {S. D. Bass and R. J. Crewther and F. M. Steffens and A. W. Thomas},
journal= {arXiv preprint arXiv:hep-ph/0211376},
year = {2010}
}
Comments
Revised version to be published in Physical Review D; added section with application to decoupling of heavy particles in non-asymptotically free theories