Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-10-03
PoSLAT2007:248,2007
Physics
High Energy Physics
High Energy Physics - Lattice
Comments: 7 pages, 6 figures, contribution to XXV International Symposium on Lattice Field Theory, July 2007, Regensburg, Germ
Scientific paper
We present non-perturbative renormalization factors for $\Delta S=2$ four-quark operators in quenched domain-wall QCD using the Schroedinger functional method. Non-perturbative renormalization factor for $B_K$ is evaluated at hadronic scale. Combined with the non-perturbative RG running obtained by the Alpha collaboration, our result yields renormalization factor which converts lattice bare $B_K$ to the renormalization group invariant one. We apply the renormalization factor to bare $B_K$ previously obtained by the CP-PACS collaboration with the quenched domain-wall QCD(DWQCD). We compare our result with previous ones obtained by perturbative renormalization factors, different renormalization schemes or different quark actions. We also show that chiral symmetry breaking effects in the renormalization factor are numerically small.
for CP-PACS Collaboration
Nakamura Yousuke
Taniguchi Yusuke
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