Effects of strangeness on the chiral pseudo-critical line

Within a 2+1 flavor Nambu–Jona-Lasinio model, we have calculated the curvature coefficients and checked them against available lattice QCD estimations. With the observation that the flavor mixing due to the `t Hooft determinant term significantly affects the κ_2^S, we explore the effect of μ_S on the T-μ_B cross-over lines. With the novel determination of negative κ_2^B at large μ_S, we advocate the importance of studying the same in lattice QCD.