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

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

2012-03-07

arxiv.org/abs/1203.1401v1

Physics

High Energy Physics

High Energy Physics - Lattice

39 pages

Scientific paper

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.

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