Duality between QCD Perturbative Series and Power Corrections

Abstract

We elaborate on the relation between perturbative and power-like corrections to short-distance sensitive QCD observables. We confront theoretical expectations with explicit perturbative calculations existing in literature. As is expected, the quadratic correction is dual to a long perturbative series and one should use one of them but not both. However, this might be true only for very long perturbative series, with number of terms needed in most cases exceeding the number of terms available. What has not been foreseen, the quartic corrections might also be dual to the perturbative series. If confirmed, this would imply a crucial modification of the dogma. We confront this quadratic correction against existing phenomenology (QCD (spectral) sum rules scales, determinations of light quark masses and of α_s from τ-decay). We find no contradiction and (to some extent) better agreement with the data and with recent lattice calculations.

shorten version to appear in PLB

References in corpus (18)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• 1/q^2 Corrections and Gauge/String Duality
• 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
• Experimental Tests of Asymptotic Freedom
• Power corrections to alpha_s(M_τ),|V_{us}| and m_s
• Alpha_s(M_Z) from hadronic tau decays
• Unraveling duality violations in hadronic tau decays
• Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
• Gluon Condensate, Wilson Loops and Gauge/String Duality
• On the determination of alpha_s from hadronic tau decays with contour-improved, fixed order and renormalon-chain perturbation theory
• Dimension-2 condensates, zeta-regularization and large-Nc Regge Models
• Regge spectrum from holographic models inspired by OPE
• Confronting QCD with the experimental hadronic spectral functions from tau-decay
• Non-perturbative match of ultraviolet renormalon
• Stochastic Perturbation Theory and the Gluon Condensate
• Heavy Quarkonium Physics-Theoretical Status
• Estimate of the systematic error in tau decay due to duality violations

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