Pressure of Hot QCD at Large Nf

We compute the pressure and entropy of hot QCD in the limit of large number of fermions, Nf >> Nc ~ 1, to next to leading order in Nf. At this order the calculation can be done exactly, up to ambiguities due to the presence of a Landau pole in the theory; the ambiguities are O(T8/ΛLandau4) and remain negligible long after the perturbative series (in g2Nf) has broken down. Our results can be used to test several proposed resummation schemes for the pressure of full QCD.