Renormalization group scaling in nonrelativistic QCD

Details Renormalization group scaling in nonrelativistic QCD Renormalization group scaling in nonrelativistic QCD

1999-10-02

arxiv.org/abs/hep-ph/9910209v1

Phys.Rev. D61 (2000) 074025

Physics

High Energy Physics

High Energy Physics - Phenomenology

(27 pages, revtex)

Scientific paper

10.1103/PhysRevD.61.074025

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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