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We study the nature of the finite temperature phase transition forthree-flavor QCD. In particular we investigate the location of the criticalendpoint along the three flavor symmetric line in the light quark mass regionof the Columbia plot. In the study, the Iwasaki gauge action and thenonperturvatively O($a$) improved Wilson-Clover fermion action are employed. Wenewly generate data at $N_{\rm t}=12$ and set an upper bound of the criticalpseudoscalar meson mass in the continuum limit $m_{\rm PS,E}\lesssim 110$MeV.

Nature of the phase transition for finite temperature $N_{\rm f}=3$ QCD with nonperturbatively O($a$) improved Wilson fermions at $N_{\rm t}=12$