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arXiv · 1607.02048

Tests of quark-hadron duality in tau-decays

C. A. Dominguez·L. A. Hernandez·K. Schilcher·H. Spiesberger
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Abstract

An exhaustive number of QCD finite energy sum rules for $τ$-decay together with the latest updated ALEPH data is used to test the assumption of global duality. Typical checks are the absence of the dimension $d=2$ condensate, the equality of the gluon condensate extracted from vector or axial vector spectral functions, the Weinberg sum rules, the chiral condensates of dimensions $d=6$ and $d=8$, as well as the extraction of some low-energy parameters of chiral perturbation theory. Suitable pinched linear integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations and experimental errors. We find no compelling indications of duality violations in hadronic $τ$-decay in the kinematic region above $s\simeq2.2$ GeV$^{2}$ for these kernels.

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C. A. Dominguez, L. A. Hernandez, K. Schilcher, H. Spiesberger. 2016-07-07. Tests of quark-hadron duality in tau-decays. https://doi.org/10.1142/s0217732316300366

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