$ΔI = 3/2$ kaon weak matrix elements with non-zero total momentum

Abstract

We present preliminary results for the $ΔI = 3/2$ kaon decay matrix elements using domain wall fermions and the DBW2 gauge action at one coarse lattice spacing corresponding to $a^{-1} = 1.3$ GeV. We employ an extention of the Lellouch and Lüscher formula for non-zero total momentum to extract the infinite volume, center-of-mass system decay amplitudes. We compare the result of $\mathrm{Re}A_2$ with previous results calculated by several methods, and experiment. We also show the I=2 $ππ$ scattering phase shift.