Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data

Abstract

We analyze the lowest spectral moments of the left-right two-point correlation function, using all known short-distance constraints and the recently updated ALEPH V-A spectral function from tau decays. This information is used to determine the low-energy couplings L10 and C87 of chiral perturbation theory and the lowest-dimensional contributions to the Operator Product Expansion of the left-right correlator. A detailed statistical analysis is implemented to assess the theoretical uncertainties, including violations of quark-hadron duality.

25 pages, 8 figures, Preprint numbers: IFIC/16-08 FTUV/16-0219

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• The strong coupling from hadronic $\tau$ decays: a critical appraisal
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• Precision physics with inclusive QCD processes
• QCD sum rules with spectral densities solved in inverse problems
• Determination of perturbative QCD coupling from ALEPH $\tau$ decay data using pinched Borel-Laplace and Finite Energy Sum Rules
• Violations of Quark-Hadron Duality in Low-Energy Determinations of ${\alpha }_s$
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• The case for duality violations in the analysis of hadronic $\tau$ decays
• Closing in on the radiative weak chiral couplings
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Using improved Operator Product Expansion in Borel-Laplace Sum Rules with ALEPH $\tau$ decay data, and determination of pQCD coupling
• Precision physics with QCD
• Tau-decay hadronic spectral functions: probing quark-hadron duality
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Towards tests of quark-hadron duality with functional analysis and spectral function data
• Quark-hadron duality: pinched kernel approch
• Confronting hadronic tau decays with non-leptonic kaon decays