Four-loop logarithms in 3d gauge + Higgs theory
  We discuss the logarithmic contributions to the vacuum energy density of the three-dimensional SU(3) + adjoint Higgs theory in its symmetric phase, and relate them to numerical Monte Carlo simulations. We also comment on the implications of these results for perturbative and non-perturbative determinations of the pressure of finite-temperature QCD. 
K. Kajantie, M. Laine, K. Rummukainen, Y. Schroder