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 T₂, allowing for its very precise determination, and extrapolate from imaginary chemical potential up to real μ₁≈300 MeV. The definition of T₂ 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 μ₁. We obtain the parameters κ₂=0. 0153 (18) and κ₄=0. 00032 (67) as a continuum extrapolation based on Nₓ=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 μ₁. We see no sign of criticality in the explored range.