Determination of the $ΔS = 1$ weak Hamiltonian in the SU4 chiral limit through topological zero-mode wave functions - High Energy Physics - LatticeReport as inadecuate




Determination of the $ΔS = 1$ weak Hamiltonian in the SU4 chiral limit through topological zero-mode wave functions - High Energy Physics - Lattice - Download this document for free, or read online. Document in PDF available to download.

Abstract: A new method to determine the low-energy couplings of the $\Delta S=1$ weakHamiltonian is presented. It relies on a matching of the topological poles in$1-m^2$ of three-point correlators of two pseudoscalar densities and afour-fermion operator, measured in lattice QCD, to the same observablescomputed in the $\epsilon$-regime of chiral perturbation theory. We test thismethod in a theory with a light charm quark, i.e. with an SU4 flavoursymmetry. Quenched numerical measurements are performed in a 2 fm box, andchiral perturbation theory predictions are worked out up to next-to-leadingorder. The matching of the two sides allows to determine the weak low-energycouplings in the SU4 limit. We compare the results with a previousdetermination, based on three-point correlators containing two left-handedcurrents, and discuss the merits and drawbacks of the two procedures.



Author: P. Hernandez, M. Laine, C. Pena, E. Torro, J. Wennekers, H. Wittig

Source: https://arxiv.org/







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