Running of the heavy quark production current and 1/k potential in QCD

Abstract

The 1/k contribution to the heavy quark potential is first generated at one loop order in QCD. We compute the two loop anomalous dimension for this potential, and find that the renormalization group running is significant. The next-to-leading-log coefficient for the heavy quark production current near threshold is determined. The velocity renormalization group result includes the alpha_s^3 ln^2(alpha_s) ``non-renormalization group logarithms'' of Kniehl and Penin.

30 pages, journal version

References in corpus (10)

• Potential NRQCD: an effective theory for heavy quarkonium
• Renormalization group scaling in nonrelativistic QCD
• The infrared behaviour of the static potential in perturbative QCD
• The QCD Potential at $O(1/m)$
• Top Quark Pair Production close to Threshold: Top Mass, Width and Momentum Distribution
• Ultrasoft Effects in Heavy-Quarkonium Physics
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
• The QCD heavy-quark potential to order v^2: one loop matching conditions
• Renormalization group analysis of the QCD quark potential to order v^2
• Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation

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