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

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