Abstract
QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension d = 2 and d = 4. These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension d = 6 and d = 8, as well as the chiral correlator at zero momentum, proportional to the counter term of the \( \mathcal{O}\left({p}^4\right) \) Lagrangian of chiral perturbation theory, \( {\overline{L}}_{10} \). Suitable (pinched) integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations. We find no compelling indications of duality violations in the kinematic region above s ≃ 2.2 GeV2 after using pinched integration kernels.
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Dominguez, C.A., Hernandez, L.A., Schilcher, K. et al. Chiral sum rules and vacuum condensates from tau-lepton decay data. J. High Energ. Phys. 2015, 53 (2015). https://doi.org/10.1007/JHEP03(2015)053
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DOI: https://doi.org/10.1007/JHEP03(2015)053