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.

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