Pion Form Factor in QCD Sum Rules with Nonlocal Condensates and in the Local-Duality Approach

Details Pion Form Factor in QCD Sum Rules with Nonlocal Condensates and in the Local-Duality Approach Pion Form Factor in QCD Sum Rules with Nonlocal Condensates and in the Local-Duality Approach

2009-10-16

arxiv.org/abs/0910.3077v1

Mod.Phys.Lett.A24:2848-2857,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures, talk presented by the first author at Workshop "Recent Advances in Perturbative QCD and Hadronic Physics"

Scientific paper

10.1142/S0217732309001066

We discuss the QCD sum-rule approach for the spacelike electromagnetic pion form factor in the $O(\alpha_s)$ approximation. We show that the nonlocality of the condensates is a key point to include nonperturbative contributions to the pion form factor. We compare our results with the Local-Duality predictions and show that the continuum threshold $s_0(Q^2)$ parameter is highly underestimated in the Local-Duality approach at $Q^2\gtrsim 2$ GeV$^2$. Using our fit for this parameter, $s_0^\text{LD}(Q^2)$, and applying the fractional analytic perturbation theory, we estimate with an accuracy of the order of 1% the $O(\alpha_s^2)$ contribution to the pion's form factor.

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