APS » PROLA » Phys. Rev. D » Volume 61 » Issue 7

Phys. Rev. D 61, 074025 (2000) [14 pages]

Renormalization group scaling in nonrelativistic QCD

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Michael E. Luke
Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7

Aneesh V. Manohar
Department of Physics, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319

Ira Z. Rothstein
Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213

Received 6 October 1999; published 8 March 2000

We discuss the matching conditions and renormalization group evolution of non-relativistic QCD. A variant of the conventional MS̅ scheme is proposed in which a subtraction velocity ν is used rather than a subtraction scale μ. 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.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v61/e074025
DOI: 10.1103/PhysRevD.61.074025
PACS: 12.39.Hg, 11.10.St, 12.38.Bx

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