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We investigate the critical endpoint of finite temperature phase transitionof $N_f=3$ QCD at zero chemical potential. We employ the renormalization-groupimproved Iwasaki gauge action and non-perturbatively $O(a)$-improvedWilson-clover fermion action. The critical endpoint is determined by using theintersection point of kurtosis for the temporal size $N_t$=4, 6, 8. Spatialsizes of $N_l$=6-16 ($N_t$=4), 10-24 ($N_t$=6), and 12-24 ($N_t$=8) areemployed. We find that $N_t$=4 is out of the scaling region. Using results for$N_t$=6 and 8, and making linear extrapolations in $1/N_t^2$, we obtain$\sqrt{t_0}T_{\rm E}=0.0975(14)(8)$, $\sqrt{t_0}m_{\rm PS,E}=0.2254(52)(105)$and $m_{\rm PS,E}/T_{\rm E}=2.311(63)(13)$, where the first error isstatistical error, the second error is systematic error, and $m_{\rm PS}$ isthe pseudo scalar meson mass. If one uses $1/\sqrt{t_0}=1.347(30)$ GeV reportedby Borsanyi et al., one finds $T_{\rm E}=131(2)(1)(3)$ MeV, $m_{\rmPS,E}=304(7)(14)(7)$ MeV and $m_{\rm PS,E}/m_{\rm PS,E}^{\rm phys,sym}=0.739(17)(34)(17)$, where the third error comes from error of $\sqrt{t_0}$and $m_{\rm PS}^{\rm phys, sym}=\sqrt{(m_\pi^2+2m_K^2)/3}$. Our currentestimation of $\sqrt{t_0}m_{\rm PS,E}$ in the continuum limit is about 25%smaller than the SU(3) symmetric point.

Critical endpoint of finite temperature phase transition for three flavor QCD