Renormalization factors for three- and four-quark operators, which appear in the low energy effective Lagrangian of the proton decay and the weak interactions, are perturbatively calculated in domain-wall QCD. We find that the operators are multiplicatively renormalizable up to one-loop level without mixing with any other operators that have different chiral structures. As an application, we evaluate a renormalization factor for BK at the parameters where previous simulations have been performed, and find one-loop corrections to BK are 1-5% in these cases.
@article{arxiv.hep-lat/9902008,
title = {Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD},
author = {Sinya Aoki and Taku Izubuchi and Yoshinobu Kuramashi and Yusuke Taniguchi},
journal= {arXiv preprint arXiv:hep-lat/9902008},
year = {2009}
}