Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-02-25
JHEP 0805:043,2008
Physics
High Energy Physics
High Energy Physics - Lattice
38 pages, 9 figures
Scientific paper
10.1088/1126-6708/2008/05/043
A new method to determine the low-energy couplings of the $\Delta S=1$ weak Hamiltonian is presented. It relies on a matching of the topological poles in $1/m^2$ of three-point correlators of two pseudoscalar densities and a four-fermion operator, measured in lattice QCD, to the same observables computed in the $\epsilon$-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.
Hernandez Pedro
Laine Mikko
Pena Carlos
Torro E.
Wennekers Jan
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