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

Hernandez P, Laine M, Pena C, Torro E, Wennekers J, Wittig H (2008)
Journal of High Energy Physics 2008(05).

Journal Article | Published | English

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Abstract
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 is an element of-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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Hernandez P, Laine M, Pena C, Torro E, Wennekers J, Wittig H. 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;2008(05).
Hernandez, P., Laine, M., Pena, C., Torro, E., Wennekers, J., & Wittig, H. (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(05).
Hernandez, P., Laine, M., Pena, C., Torro, E., Wennekers, J., and Wittig, H. (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.
Hernandez, P., et al., 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(05).
P. Hernandez, et al., “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, vol. 2008, 2008.
Hernandez, P., Laine, M., Pena, C., Torro, E., Wennekers, J., Wittig, H.: 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, (2008).
Hernandez, P., Laine, Mikko, Pena, C., Torro, E., Wennekers, J., and Wittig, H. “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 2008.05 (2008).
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