CP CONSERVED NONLEPTONIC K → πππ DECAYS IN THE CHIRAL QUARK MODEL

Abstract

The CP conserved nonleptonic K → πππ decays are discussed within the chiral quark model, including chiral perturbation theory corrections. For the chiral loop correction, they are presented in a way to be more manageable and easier for use. Furthermore a new identity for the imaginary part of the chiral loop corrections is derived. All amplitudes are parametrized in terms of quark and gluon condensate and the constituent quark mass. The same values for these parameters that can be obtained by a fit of the ΔI = 1/2 rule in K → 2π give a reasonably good fit in the K → 3π case. We compare with the work of other groups.