QCD Crossover at Finite Chemical Potential from Lattice Simulations.

We provide the most accurate results for the QCD transition line so far. We optimize the definition of the crossover temperature T_{c}, allowing for its very precise determination, and extrapolate from imaginary chemical potential up to real µ_{B}≈300 MeV. The definition of T_{c} adopted in this work is based on the observation that the chiral susceptibility as a function of the condensate is an almost universal curve at zero and imaginary µ_{B}. We obtain the parameters κ_{2}=0.0153(18) and κ_{4}=0.00032(67) as a continuum extrapolation based on N_{t}=10, 12, 16 lattices with physical quark masses. We also extrapolate the peak value of the chiral susceptibility and the width of the chiral transition along the crossover line. In fact, both of these are consistent with a constant function of µ_{B}. We see no sign of criticality in the explored range.

Is there a flavor hierarchy in the deconfinement transition of QCD?

We present possible indications for flavor separation during the QCD crossover transition based on continuum extrapolated lattice QCD calculations of higher order susceptibilities. We base our findings on flavor-specific quantities in the light and strange quark sector. We propose a possible experimental verification of our prediction, based on the measurement of higher order moments of identified particle multiplicities. Since all our calculations are performed at zero baryochemical potential, these results are of particular relevance for the heavy-ion program at the LHC.