NNLO HTLpt predictions for the curvature of the QCD phase transition line

We present predictions for the second- and fourth-order curvature coefficients of the QCD phase transition line using the NNLO HTLpt-resummed thermodynamic potential. We present three cases corresponding to (i) $mu_s = mu_l = mu_B/3$, (ii) $mu_s=0$, $mu_l = mu_B/3,$ and (iii) $S = 0$, $Q/B = 0.4$, $mu_l = mu_B/3$. In all three cases, we find excellent agreement with continuum extrapolated lattice QCD results for $kappa_2$, given current statistical uncertainties. We also make HTLpt predictions for $kappa_4$ in all three cases, finding again excellent agreement with lattice extractions of this coefficient where available.