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 ${\alpha }_S(Q^2)\to {\alpha }_S(e^{f(Q^2)}{Q}^2)$ in the leading order expression

Comments: 9 pp., 2 fig