Calculation of $K\toππ$ decay amplitudes from $K\toπ$ matrix elements in quenched domain-wall QCD
We present a calculation of the $K\toππ$ decay amplitudes from the $K\toπ$ 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 $ΔI=1/2$ enhancement is only half of the experimental value, and $ε'/ε$ is negative.
hep-lat↗