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

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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

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