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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 | |||
| This document is a artículoDate2008 | |||
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Este documento está disponible también en : http://hdl.handle.net/10550/43371 |
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| 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. | |||
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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 |
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| http://dx.doi.org/10.1088/1126-6708/2008/05/043 |
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