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arXiv · hep-ph/9910209

Renormalization group scaling in nonrelativistic QCD

Michael E. Luke·Aneesh V. Manohar·Ira Z. Rothstein
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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.

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Michael E. Luke, Aneesh V. Manohar, Ira Z. Rothstein. 1999-10-02. Renormalization group scaling in nonrelativistic QCD. https://doi.org/10.1103/physrevd.61.074025

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