Padé improvement of the free energy in high temperature QCD

Pad\'e approximants (PA's) are constructed from the perturbative coefficients of free energy through O(g⁵) in hot QCD. Pad\'e summation is shown to reduce the renormalization-scale dependence substantially even at a temperature $(T)$ 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>250MeV.