  We discuss radiative corrections to how quark mass thresholds are crossed, as
a function of the temperature, in basic thermodynamic observables such as the
pressure, the energy and entropy densities, and the heat capacity of high
temperature QCD. The indication from leading order that the charm quark plays a
visible role at surprisingly low temperatures, is confirmed. We also sketch a
way to obtain phenomenological estimates relevant for generic expansion rate
computations at temperatures between the QCD and electroweak scales, pointing
out where improvements over the current knowledge are particularly welcome.
