TY - JOUR
AB - 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.
AU - Hernandez, Pilar
AU - Laine, Mikko
ID - 1596677
IS - 10
JF - JOURNAL OF HIGH ENERGY PHYSICS
KW - kaon physics
KW - chiral lagrangians
KW - lattice QCD
KW - weak decays
SN - 1126-6708
TI - Probing the chiral weak Hamiltonian at finite volumes
VL - 2006
ER -