@article{oai:tsukuba.repo.nii.ac.jp:00017111, author = {青木, 愼也 and 谷口, 裕介 and 吉江, 友照 and Nakamura, Yousuke and Aoki, Sinya and Taniguchi, Yusuke and Yoshie´, Tomoteru}, issue = {3}, journal = {Physical review D}, month = {Aug}, note = {We calculate nonperturbative renormalization factors at hadronic scale for DeltaS=2 four-quark operators in quenched domain-wall QCD using the Schrodinger functional method. Combining them with the nonperturbative renormalization group running by the Alpha Collaboration, our result yields the fully nonperturbative renormalization factor, which converts the lattice bare BK to the renormalization group invariant (RGI) B^K. Applying this to the bare BK previously obtained by the CP-PACS Collaboration at a-1~=2,3,4 GeV, we obtain B^K=0.782(5)(7) [equivalent to BK[overline MS](NDR,2 GeV)=0.565(4)(5) by two-loop running] in the continuum limit, where the first error is statistical and the second is systematic due to the continuum extrapolation. Except the quenching error, the total error we have achieved is less than 2%, which is much smaller than the previous ones. Taking the same procedure, we obtain mu,dRGI=5.613(66) MeV and msRGI=147.1(17) MeV [equivalent to mu,d[overline MS](2 GeV)=4.026(48) MeV and ms[overline MS](2 GeV)=105.6(12) MeV by four-loop running] in the continuum limit.}, title = {Precise determination of BK and light quark masses in quenched domain-wall QCD}, volume = {78}, year = {2008} }