Exploring the QCD phase diagram with three flavors of Möbius domain wall fermions

We present an update on the study of the QCD phase transition with 3 flavors of Möbius domain wall fermions at zero baryon density. We performed simulations on lattices of size 36³1216 and 24³1232 with a variety of quark masses at a fixed lattice spacing a=0. 1361 (20) fm, which correspond to a temperature 121 (2) MeV. By analyzing the chiral condensate, chiral susceptibilitities and Binder cumulant on 36³1216 lattices together with the result obtained from our previous study on 24³1216 lattices, we identified a crossover occurring at quark mass around mq^ {MS} (2\, GeV) 3-4 MeV for this temperature. Besides, we show the effects of residual chiral symmetry breaking on chiral condensate and chiral susceptibilities between Lₛ=16 and 32.