Extraction of K -> pi pi matrix elements with Wilson fermions

We present the status of a lattice calculation for the K --> pipi matrix elements of the DeltaS=1 effective weak Hamiltonian, directly with two pion in the final state. We study the energy shift of two pion in a finite volume both in the I=0 and I=2 channels. We explain a method to avoid the Goldstone pole contamination in the computation of renormalization constants for DeltaI=3/2 operators. Finally we show some preliminary results for the matrix elements of DeltaI=1/2 operators. Our quenched simulation is done at beta=6.0, on a 24(3) x 64 lattice.

Giménez Gómez, Vicente 2002 Extraction of K -> pi pi matrix elements with Wilson fermions Nuclear Physics B-Proceedings Supplements 106 323 325