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We use a twice-subtracted partial-wave dispersion relation in the elasticunitarity approximation for final-state interactions to study the amplitude forthe delta I = 1/2 CP-conserving weak process K+spurion->pi+pi. We use a simpleparameterization to approximate the low energy I = 0 S-wave pipi->pipiscattering phase shift and extract the residue of the sigma pole in the weakamplitude obtained from the dispersion relation. Using this residue, we relatethe K->pipi decay amplitude, the weak amplitude at the soft pion point and theK->sigma weak amplitude.

K to \pi\pi decays and the K to \sigma weak amplitude