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Determination of the ΔS=1 weak Hamiltonian of the SU(4) chiral limit through topological zero-mode wave functions

AuthorsHernández Gamazo, Pilar ; Laine, M.; Pena, Carlos Roberto ; Torró Pastor, Emma ; Wennekers, J.; Wittig, H.
KeywordsHigh Energy Physics - Lattice
High Energy Physics - Phenomenology
Issue Date25-Feb-2008
PublisherInstitute of Physics Publishing
CitationarXiv:0802.3591v1 [hep-lat]
AbstractA new method to determine the low-energy couplings of the ΔS=1 weak Hamiltonian is presented. It relies on a matching of the topological poles in 1/m2 of three-point correlators of two pseudoscalar densities and a four-fermion operator, measured in lattice QCD, to the same observables computed in the ε-regime of chiral perturbation theory. We test this method in a theory with a light charm quark, i.e. with an SU(4) flavour symmetry. Quenched numerical measurements are performed in a 2 fm box, and chiral perturbation theory predictions are worked out up to next-to-leading order. The matching of the two sides allows to determine the weak low-energy couplings in the SU(4) limit. We compare the results with a previous determination, based on three-point correlators containing two left-handed currents, and discuss the merits and drawbacks of the two procedures.
Description38 pages, 9 figures.-- Published in: JHEP05(2008)043, available at: http://dx.doi.org/10.1088/1126-6708/2008/05/043 (open-acess).
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