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We investigate the axial $U(1)_A$ symmetry breaking above the criticaltemperature in two-flavor lattice QCD. The ensembles are generated withdynamical M\"obius domain-wall or reweighted overlap fermions. The $U(1)_A$susceptibility is extracted from the low-modes spectrum of the overlap Diraceigenvalues. We show the quark mass and temperature dependences of $U(1)_A$susceptibility. Our results at $T=220 \, \mathrm{MeV}$ imply that the $U(1)_A$symmetry is restored in the chiral limit. Its coincidence with vanishingtopological susceptibility is observed.

Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD