Renormalization group scaling in nonrelativistic QCD
High Energy Physics - Phenomenology
2009-10-31 v1
Abstract
We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional MS-bar scheme is proposed in which a subtraction velocity nu is used rather than a subtraction scale mu. We derive a novel renormalization group equation in velocity space which can be used to sum logarithms of v in the effective theory. We apply our method to several examples. In particular we show that our formulation correctly reproduces the two-loop anomalous dimension of the heavy quark production current near threshold.
Keywords
Cite
@article{arxiv.hep-ph/9910209,
title = {Renormalization group scaling in nonrelativistic QCD},
author = {Michael E. Luke and Aneesh V. Manohar and Ira Z. Rothstein},
journal= {arXiv preprint arXiv:hep-ph/9910209},
year = {2009}
}
Comments
(27 pages, revtex)