On lattice extraction of K --> pi pi amplitudes to O(p4) in Chiral Perturbation Theory

Abstract

We show that lattice calculation of K --> pi pi and epe amplitudes for (8,1) and (27,1) operators to O(p4) in chiral perturbation theory is feasible when one uses K --> pi pi computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two and three point functions, namely K --> 0, K --> pi (with momentum) and K - barK. Explicit expressions for the finite logarithms emerging from our O(p4) analysis to the above amplitudes are also given.

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