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 ${36}^3\times 12\times 16$ and ${24}^3\times 12\times 32$ 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 ${36}^3\times 12\times 16$ lattices together with the result obtained from our previous study on ${24}^3\times 12\times 16$ lattices, we identified a crossover occurring at quark mass around $m_q^{\overline{\mathrm{M}\mathrm{S}}}(2\mathrm{G}\mathrm{e}\mathrm{V})\sim 3-4$ MeV for this temperature. Besides, we show the effects of residual chiral symmetry breaking on chiral condensate and chiral susceptibilities between $L_s=16$ and 32.