$K^{+}\to {\pi }^{+}{\pi }^0$ Decay Amplitude in Quenched Lattice QCD

Abstract

A new study is reported of a lattice QCD calculation of the $K^{+}\to {\pi }^{+}{\pi }^0$ decay amplitude with the Wilson quark action in the quenched approximation at $\beta =6.1$. The amplitude is extracted from the $K\to \pi \pi$ Green function, and a conversion to the continuum value is made employing a recent one-loop calculation of chiral perturbation theory. The result is consistent with the experimental value if extrapolated to the chiral limit.

Comments: LaTeX, 3 pages, 3 figures, uses espcrc2 and epsfig. Talk presented at Lattice '97, Edinburgh, Scotland, July 1997