Pion form factor in QCD sum rules, local duality approach, and O(A_2) fractional analytic perturbation theory

Abstract

Using the results on the electromagnetic pion Form Factor (FF) obtained in the $O({\alpha }_s)$ QCD sum rules with non-local condensates \cite{BPS09} we determine the effective continuum threshold for the local duality approach. Then we apply it to construct the $O({\alpha }_s^2)$ estimation of the pion FF in the framework of the fractional analytic perturbation theory.

4 pages, 2 figures, invited talk at the 3rd Joint International Hadron Structure'09 Conference, Tatranska Strba (Slovak Republic), Aug. 30--Sept. 3, 2009

References in corpus (6)

• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Pion form factor at spacelike momentum transfers from local-duality QCD sum rule
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Analyticity properties of three-point functions in QCD beyond leading order

Cited by in corpus (2)

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