Resummation of infrared renormalons in the pion electromagnetic form factor calculations

Abstract

The pion electromagnetic form factor F_{\pi}(Q^{2}) is calculated at the leading order of pQCD using the running coupling constant (\alpha_{S}(Q^{2}(1-x)(1-y))) approach. The resummed expression for F_{\pi}(Q^{2}) is found. It is shown that the effect of the infrared renormalons can be taken into account by scale-setting procedure $\alpha_{S}(Q^{2}) \rightarrow \alpha_{S}(e^{f(Q^{2})}Q^{2})$ in the leading order expression