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

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

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Hernández Gamazo, Pilar; Laine, Mikko; Pena Ruano, Carlos; Torró Pastor, Emma; Wennekers, Jan; Wittig, Hartmut
Aquest document és un/a article, creat/da en: 2008
A 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.

    Hernández Gamazo, Pilar Laine, Mikko Pena Ruano, Carlos Torró Pastor, Emma Wennekers, Jan Wittig, Hartmut 2008 Determination of the Delta S=1 weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions Journal of High Energy Physics 2008 5 43
http://dx.doi.org/10.1088/1126-6708/2008/05/043
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