Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD

Abstract

We analyze the spectral moments of the V-A two-point correlation function. Using all known short-distance constraints and the most recent experimental data from tau decays, we determine the lowest spectral moments, trying to assess the uncertainties associated with the so-called violations of quark-hadron duality. We have generated a large number of "acceptable" spectral functions, satisfying all conditions, and have used them to extract the wanted hadronic parameters through a careful statistical analysis. We obtain accurate values for the ChPT couplings L10 and C87, and a realistic determination of the dimension six and eight contributions in the operator product expansion, O6=(-5.4^{+3.6}_{-1.6})*10^-3 GeV^6 and O8=(-8.9^{+12.6}_{-7.4})*10^-3 GeV^8, showing that the duality-violation effects have been usually underestimated in previous literature.

17 pp, slightly modified version to be published in PRD.

References in corpus (19)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• alpha_s and the tau hadronic width: fixed-order, contour-improved and higher-order perturbation theory
• The Determination of alpha_s from Tau Decays Revisited
• Alpha_s(M_Z) from hadronic tau decays
• Unraveling duality violations in hadronic tau decays
• ${\alpha }_s$ from $\tau$ decays: contour-improved versus fixed-order summation in a new QCD perturbation expansion
• Possible duality violations in tau decay and their impact on the determination of alpha_s
• |V_us| and m_s from hadronic tau decays
• Tau Physics: Theory Overview
• Determination of QCD condensates from tau-decay data
• Up and down quark masses from Finite Energy QCD sum rules to five loops
• On the determination of alpha_s from hadronic tau decays with contour-improved, fixed order and renormalon-chain perturbation theory
• QCD condensates of dimension D=6 and D=8 from hadronic tau-decays
• Theoretical overview on tau physics
• Tau Physics 2006: Summary & Outlook
• Bounds on the Light Quark Masses: the scalar channel revisited
• Contribution from Duality Violations to the theoretical error on alpha_s
• Chiral low-energy constants L_10 and C_87 from hadronic tau decays
• From hadronic tau decays to the chiral couplings L_10 and C_87

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• The Constituent Chiral Quark Model Revisited
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