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 36³×12×16 and 24³×12×32 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 36³×12×16 lattices together with the result obtained from our previous study on 24³×12×16 lattices, we identified a crossover occurring at quark mass around mq^MS̄(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.