Using K⁰π-→π- transitions to compute K→(ππ)ᵢ₌₀ decay amplitudes at NLO in the chiral expansion

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It is proposed to compute matrix elements for the (unphysical) K⁰π-→ π- transition to determine the next-to-leading order low energy constants of the weak chiral Lagrangian. This allows us to evaluate K→(ππ)ᵢ₌₀ decay amplitudes at this level of precision. This approach has several significant advantages over the use of K→ππ transitions, most notably the elimination of s-channel disconnected diagrams and the use of fewer inversions.