Renormalization factor of four fermi operators with clover fermion and Iwasaki gauge action

preprint2011arXivOpen access

Abstract

Renormalization factors of four-quark operators are perturbatively calculated for the improved Wilson fermion with clover term and the Iwasaki gauge action. A main application shall be the K→ππK\toππ decay amplitude and the calculation is restricted to the parity odd operator, for which the operators are multiplicatively renormalizable without mixing with wrong operators that have different chiral structures.

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