The logarithmic contribution to the QCD static energy at NNNNLO
  Using pNRQCD and known results for the field strength correlator, we calculate the ultrasoft contribution to the QCD static energy of a quark-antiquark pair at short distances at NNNNLO in alpha_s. At the same order, this provides the logarithmic terms of the singlet static potential in pNRQCD and the log alpha_s terms of the static energy. 
Nora Brambilla, Xavier Garcia i Tormo, Joan Soto, Antonio Vairo