We calculate second- and fourth-order cumulants of conserved charges in a temperature range stretching from the QCD transition region towards the realm of (resummed) perturbation theory. We perform lattice simulations with staggered quarks; the continuum extrapolation is based on Nₜ=10--24 in the crossover region and Nₜ=8--16 at higher temperatures. We find that the hadron resonance gas model predictions describe the lattice data rather well in the confined phase. At high temperatures (above ~250 MeV) we find agreement with the three-loop hard thermal loop results.
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Bellwied et al. (2015) studied this question.
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