Calculation of K → ππ decay amplitudes from K → π matrix elements in quenched domain-wall QCD
/ Authors
S. Aoki, T. Yoshie, S. Hashimoto, N. Ishizuka, K. Kanaya, T. Izubuchi, R. Burkhalter, Y. Aoki, Y. Kuramashi, T. Kaneko
and 9 more authors
S. Ejiri, K. Nagai, M. Okawa, M. Fukugita, A. Ukawa, Y. Taniguchi, J. Noaki, Y. Iwasaki, V. Lesk
/ Abstract
We present a calculation of the K → ππ decay amplitudes from the K → π matrix elements using leading order relations derived in chiral perturbation theory. Numerical simulations are carried out in quenched QCD with the domain-wall fermion action and the renormalization group improved gluon action. Our results show that the I = 2 amplitude is reasonably consistent with experiment whereas the I = 0 amplitude is sizably smaller. Consequently the ΔI = 12 enhancement is only half of the experimental value, and ϵ′/ϵ is negative.