On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory

Details On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory

2002-03-12

arxiv.org/abs/hep-ph/0203106v3

Phys.Rev. D65 (2002) 114020

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 1 figure. This is the final published version, where some minor corrections have been made

Scientific paper

10.1103/PhysRevD.65.114020

We show that lattice calculation of K --> pi pi and $epe$ amplitudes for (8,1) and (27,1) operators to O(p^4) 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 - bar{K}. Explicit expressions for the finite logarithms emerging from our O(p^4) analysis to the above amplitudes are also given.

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