Perturbative renormalization factors in domain-wall QCD with improved   gauge actions
  We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three- and four-quark operators in modified minimal subtraction (MS-bar) scheme with the dimensional reduction(DRED) as well as the naive dimensional regularization(NDR). We also present detailed results in the mean field improved perturbation theory. 
Sinya Aoki, Taku Izubuchi, Yoshinobu Kuramashi and Yusuke Taniguchi