Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD

Details Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD

2003-07-30

arxiv.org/abs/hep-ph/0307376v1

Phys.Rev. D69 (2004) 034009

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, revtex, 5 postscript figures included

Scientific paper

10.1103/PhysRevD.69.034009

The three-loop non-mixing contributions to the anomalous dimension of the leading order quark pair production current in non-relativistic QCD are computed. It is demonstrated that the renormalization procedure can only be carried out consistently if the dynamics of both soft and the ultrasoft degrees of freedom is present for all scales below the heavy quark mass, and if the soft and ultrasoft renormalization scales are always correlated.

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