Perturbative renormalization factors of four-quark operators for improved Wilson fermion action and Iwasaki gauge action

Understand

The renormalization factor and O(a) improvement coefficient of four-quark operators are calculated perturbatively for the improved Wilson fermion action with clover term and the Iwasaki gauge action.

• With an application to the $K\to\pi\pi$ decay amplitude in mind, the calculation is restricted to the parity odd operator, for which the operators are multiplicatively renormalized without any mixing to operators that have different chiral structures.