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 $N_t=10–24$ in the crossover region and $N_t=8–16$ 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 $\sim 250\mathrm{MeV}$) we find agreement with the three-loop hard thermal loop results.

• Received 18 July 2015

DOI:https://doi.org/10.1103/PhysRevD.92.114505