TL;DR
This paper investigates higher order infrared renormalons in QED and QCD, developing a perturbation method to analyze their residues and large order behavior beyond the one-loop approximation.
Contribution
It introduces a novel perturbation approach for infrared renormalon residues and extends the analysis of large order behavior beyond one-loop in QED and QCD.
Findings
Derived the first three orders of the large order behavior due to the first infrared renormalon.
Developed a perturbation method for calculating infrared renormalon residues.
Extended the understanding of renormalons beyond the one-loop chain approximation.
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.
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