Calculation of $K\to \ddot{I}€$ matrix elements in quenched domain-wall QCD

Abstract

We explore the possibility for an evaluation of non-leptonic $\hat{I}”S=1$ $K$ decay amplitudes through the calculation of $K\to \ddot{I}€$ matrix elements using domain-wall QCD. The relation between the physical $K\to \ddot{I}€\ddot{I}€$ matrix elements and $K\to \ddot{I}€$ matrix elements deduced from chiral perturbation theory is recapitulated. Quenched numerical simulations are performed on an $16^3\times 32\times 16$ lattice at a lattice spacing $a^{-1}\approx 2$GeV for both the standard plaquette gauge action and a renormalization-group improved gauge action, and reasonable signals for $K\to \ddot{I}€$ matrix elements are obtained. Preliminary results are reported on the $K\to \ddot{I}€\ddot{I}€$ matrix elements, and results from two actions are compared.

Lattice 2000 (Hadronic Matrix Elements), 4 pages, 8 figures, Addresses of the author was revised