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arXiv · 1410.3779

Chiral sum rules and vacuum condensates from tau-lepton decay data

C. A. Dominguez·L. A. Hernandez·K. Schilcher·H. Spiesberger
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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 ${\cal{O}}(p^4)$ Lagrangian of chiral perturbation theory, $\bar{L}_{10}$. 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 $s \simeq 2.2$ GeV$^2$ after using pinched integration kernels.

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C. A. Dominguez, L. A. Hernandez, K. Schilcher, H. Spiesberger. 2015-02-16. Chiral sum rules and vacuum condensates from tau-lepton decay data. https://doi.org/10.1007/jhep03(2015)053

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