Probing the chiral weak Hamiltonian at finite volumes
Hernandez, Pilar
Laine, Mikko
kaon physics
chiral lagrangians
lattice QCD
weak decays
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.
INT SCHOOL ADVANCED STUDIES
2006
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1596677
Hernandez P, Laine M. Probing the chiral weak Hamiltonian at finite volumes. <em>JOURNAL OF HIGH ENERGY PHYSICS</em>. 2006;2006(10): 069.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2006/10/069
info:eu-repo/semantics/altIdentifier/issn/1126-6708
info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/wos/000242714400021
info:eu-repo/semantics/altIdentifier/arxiv/hep-lat/0607027
info:eu-repo/semantics/closedAccess