Padé improvement of the free energy in high temperature QCD

Padé approximants (PA’s) are constructed from the perturbative coefficients of free energy through ${O(g}^5)$ in hot QCD. Padé summation is shown to reduce the renormalization-scale dependence substantially even at a temperature $\mathrm{}\left(T\right)\mathrm{}$ as low as 250 MeV. Also, PA’s predict that the free energy does not deviate more than 10% from the Stefan-Boltzmann limit for $T>\mathrm{}250\mathrm{}\mathrm{MeV}.$