Unraveling duality violations in hadronic tau decays

Abstract

There are some indications from recent determinations of the strong coupling constant alpha_s and the gluon condensate that the Operator Product Expansion may not be accurate enough to describe non-perturbative effects in hadronic tau decays. This breakdown of the Operator Product Expansion is usually referred to as being due to ``Duality Violations.'' With the help of a physically motivated model, we investigate these duality violations. Based on this model, we argue how they may introduce a non-negligible systematic error in the current analysis, which employs finite-energy sum rules with pinched weights. In particular, this systematic effect might affect the precision determination of alpha_s from tau decays. With a view to a possible future application to real data, we present an alternative method for determining the OPE coefficients that might help estimating, and possibly even reducing, this systematic error.

19 pages, 4 Figures. References, comments and a note added. Results unchanged

References in corpus (26)

• Renormalons
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Branching ratios and spectral functions of tau decays: final ALEPH measurements and physics implications
• The Physics of Hadronic Tau Decays
• Renormalization group analysis of the tau-lepton decay within QCD
• V_us and m_s from hadronic tau decays
• Experimental Tests of Asymptotic Freedom
• An Illustrative Example of How Quark-Hadron Duality Might Work
• Duality violations and spectral sum rules
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• V-A hadronic tau decays : a laboratory for the QCD vacuum
• Matching the Electroweak Penguins $Q_7$, $Q_8$ and Spectral Correlators
• Heavy flavor decays, OPE and duality in two-Dimensional 't Hooft model
• Testing an approximation to large-Nc QCD with a toy model
• QCD Condensates for the Light Quark V-A Correlator
• QCD Analysis of Hadronic $\tau$ Decays Revisited
• Neural network parametrization of spectral functions from hadronic tau decays and determination of QCD vacuum condensates
• QCD vacuum condensates from tau-lepton decay data
• Chiral Condensates, Q_7 and Q_8 Matrix Elements and Large-N_c QCD
• Contour-improved versus fixed-order perturbation theory in hadronic tau decays
• Determination of QCD condensates from tau-decay data
• On the relation between low-energy constants and resonance saturation
• An Introduction to Sum Rules in QCD
• V-A sum rules with D=10 operators
• Non-perturbative match of ultraviolet renormalon
• ALEPH Tau Spectral Functions and QCD

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