Weak low-energy couplings from topological zero-mode wavefunctions

Details Weak low-energy couplings from topological zero-mode wavefunctions Weak low-energy couplings from topological zero-mode wavefunctions

2007-10-30

arxiv.org/abs/0710.5647v1

PoSLAT2007:356,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages. Contribution to Lattice 2007

Scientific paper

We discuss a new method to determine the low-energy couplings of the $\Delta S=1$ weak Hamiltonian in the $\epsilon$-regime. It relies on a matching of the topological poles in $1/m^2$ of three-point functions of two pseudoscalar densities and a four-fermion operator computed in lattice QCD, to the same observables in the Chiral Effective Theory. We present the results of a NLO computation in chiral perturbation theory of these correlation functions together with some preliminary numerical results.

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