Renormalons Beyond One-Loop

Abstract

Higher order renormalons beyond the chain of one-loop bubbles are discussed. A perturbation method for the infrared renormalon residue is found. The large order behavior of the current-current correlation function due to the first infrared renormalon is determined in both QED and QCD to the first three orders.

Comments: 26 pages, four postscript figures, version appearing in Phys. Rev. D