$K^{+}\toπ^{+}π^{0}$ Decay Amplitude in Quenched Lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

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

Scientific paper

10.1016/S0920-5632(97)00747-0

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.

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