A scalar gluonium contribution to $K\rightarrow\pi\pi$ decay

We study a new K → ππ decay channel with gluons in intermediate state which is normally neglected within the factorization framework. Both short-distance and long-distance parts of the amplitude are calculated. The chiral Lagrangian approach is used for obtaining the long-distance contribution. The nonperturbative contribution gives an additional enhancement to K → ππ decay amplitude with ∆ I = 1 / 2. A sizable violation of factorization in the p 4 order of chiral perturbation theory is found.