The QCD transition line from lattice simulations

We present our new results for the QCD transition line at finite chemical potential μ_B from first principle, lattice QCD simulations. We extrapolate our results from imaginary chemical potentials, up to ${\mu }_{B}\approx 300{\rm{}}\,{\rm{MeV}}$. We obtain the most precise value for the transition temperature, the curvature of the QCD phase diagram and its fourth order correction. The results are continuum extrapolated, based on N_t = 10, 12, 16 lattices. We also study the height and width of the peak of the chiral susceptibility and how they change with increasing chemical potential. We find that both of them are consistent with a constant, which does not indicate any criticality in our explored