Two-Loop Ultrasoft Running of the O(v^2) QCD Quark Potentials

Abstract

The two-loop ultrasoft contributions to the next-to-leading logarithmic (NLL) running of the QCD potentials at order v^2 are determined. The results represent an important step towards the next-to-next-to-leading logarithmic (NNLL) description of heavy quark pair production and annihilation close to threshold.

13 pages, 3 figures; typos corrected, reference added, information on cross checks added on page 7; acknowledgments added

References in corpus (2)

• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Heavy Pair Production Currents with General Quantum Numbers in Dimensionally Regularized NRQCD

Cited by in corpus (3)

• Heavy quarkonium: progress, puzzles, and opportunities
• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling