Probing the chiral weak Hamiltonian at finite volumes

Hernandez P, Laine M (2006)
JOURNAL OF HIGH ENERGY PHYSICS 2006(10): 069.

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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): 069.
Hernandez, P., & Laine, M. (2006). Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS, 2006(10): 069.
Hernandez, P., and Laine, M. (2006). Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS 2006:069.
Hernandez, P., & Laine, M., 2006. Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS, 2006(10): 069.
P. Hernandez and M. Laine, “Probing the chiral weak Hamiltonian at finite volumes”, JOURNAL OF HIGH ENERGY PHYSICS, vol. 2006, 2006, : 069.
Hernandez, P., Laine, M.: Probing the chiral weak Hamiltonian at finite volumes. JOURNAL OF HIGH ENERGY PHYSICS. 2006, : 069 (2006).
Hernandez, Pilar, and Laine, Mikko. “Probing the chiral weak Hamiltonian at finite volumes”. JOURNAL OF HIGH ENERGY PHYSICS 2006.10 (2006): 069.
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