2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188195The 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 addedHigh Energy Physics - Phenomenologytext