Probing the chiral weak Hamiltonian at finite volumes

Hernandez P, Laine M (2006)
JOURNAL OF HIGH ENERGY PHYSICS 2006(10).

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Non-leptonic kaon decays are often described through an effective chiral weak Hamiltonian, whose couplings ("low-energy constants") encode all non-perturbative QCD physics. It has recently been suggested that these low-energy constants could be determined at finite volumes by matching the non-perturbatively measured three-point correlation functions between the weak Hamiltonian and two left-handed flavour currents, to analytic predictions following from chiral perturbation theory. Here we complete the analytic side in two respects: by inspecting how small ("epsilon-regime") and intermediate or large ("p-regime") quark masses connect to each other, and by including in the discussion the two leading Delta I = 1/2 operators. We show that the epsilon-regime offers a straightforward strategy for disentangling the coefficients of the Delta I = 1/2 operators, and that in the p-regime finite-volume effects are significant in these observables once the pseudoscalar mass M and the box length L are in the regime ML less than or similar to 5.0.
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Hernandez P, Laine M. Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS. 2006;2006(10).
Hernandez, P., & Laine, M. (2006). Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS, 2006(10).
Hernandez, P., and Laine, M. (2006). Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS 2006.
Hernandez, P., & Laine, M., 2006. Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS, 2006(10).
P. Hernandez and M. Laine, “Probing the chiral weak Hamiltonian at finite volumes”, JOURNAL OF HIGH ENERGY PHYSICS, vol. 2006, 2006.
Hernandez, P., Laine, M.: Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS. 2006, (2006).
Hernandez, Pilar, and Laine, Mikko. “Probing the chiral weak Hamiltonian at finite volumes”. JOURNAL OF HIGH ENERGY PHYSICS 2006.10 (2006).
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