Next-to-next-to leading-order hard-thermal-loop perturbation-theory predictions for the curvature of the QCD phase transition line
Najmul Haque, Michael Strickland
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) ${\ensuremath{\mu}}_{s}={\ensuremath{\mu}}_{l}={\ensuremath{\mu}}_{B}/3$, (ii) ${\ensuremath{\mu}}_{s}=0, {\ensuremath{\mu}}_{l}={\ensuremath{\mu}}_{B}/3$, and (iii) $S=0, Q/B=0.4, {\ensuremath{\mu}}_{l}={\ensuremath{\mu}}_{B}/3$. In all three cases, we find excellent agreement with continuum extrapolated lattice QCD results for ${\ensuremath{\kappa}}_{2}$, given current statistical uncertainties. We also make HTLpt predictions for ${\ensuremath{\kappa}}_{4}$ in all three cases, finding again excellent agreement with lattice extractions of this coefficient where available.