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

Abstract

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.

Comments: 4 pages, 2 figures, 2 tables; v2 - published version