Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD

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 the one-loop level without mixing with any other operators that have different chiral structures. As an application, we evaluate a renormalization factor for B-K at the parameters where previous simulations have been performed, and find one-loop corrections to B-K are 1-5 % in these cases. [S0556-2821(99)03819-9].