Probing the chiral weak Hamiltonian at finite volumes
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# Probing the chiral weak Hamiltonian at finite volumes

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 Hernández Gamazo, Pilar; Laine, Mikko This document is a artículoDate2006 Este documento está disponible también en : http://hdl.handle.net/10550/43367 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-vo... [Leer más...] [-] 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 \lsim 5.0. Hernández Gamazo, Pilar Laine, Mikko 2006 Probing the chiral weak Hamiltonian at finite volumes Journal of High Energy Physics 2006 10 069-1 069-36 http://dx.doi.org/10.1088/1126-6708/2006/10/069