Abstract

We perform various resummations of the hot QCD pressure based on the actual knowledge of the perturbation series which includes the ?gs6ln(l/gs) and part of the ?s6 terms. Resummations are performed separately for the short- and long-distance parts. The ?gs6 term of the short-distance pressure is estimated on the basis of the known UV cutoff dependence of the long-distance part. The resummations are of the Padé and Borel-Padé type, using in addition the (Padé) resummed expression for the squared Debye screening mass mE2 and, in some cases, even for the electrostatic QCD coupling parameter gE2. The resummed results depend weakly on the yet unknown ?gs6 terms and on the short-range renormalization scale, all temperatures. The dependence on the long-range renormalization scale is appreciable at low temperatures T ? 1 GeV. The resulting dependence of pressure on temperature T is compatible with the results of the lattice calculations at low T.