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We present a calculation of the low energy constants describing the real andimaginary parts of the $K \to \pi \pi$ decay amplitudes $A_0$ and $A_2$.Leading and next leading order chiral perturbation theory is used and itsapplicability assessed. A combination of statistical and systematic errorslimits the precision of the results. The apparent limitations of chiralperturbation theory raise doubts about the accuracy of a possible extrapolationto physical $K \to \pi \pi$ kinematics.

Chiral perturbation theory, K to pi pi decays and 2+1 flavor domain wall QCD