Normalization Constants of Large Order Behavior

TL;DR

This paper introduces a perturbation scheme to compute the normalization constant associated with large order behavior caused by an ultraviolet renormalon, enabling calculations from standard perturbative expansions.

Contribution

It presents a convergent series method to determine the normalization constant using the perturbative expansion and the renormalon singularity's nature.

Findings

Normalization constant expressed as a convergent series

Method applicable using standard perturbative expansion

Provides insights into ultraviolet renormalon behavior

Abstract

A perturbation scheme is discussed for the computation of the normalization constant of the large order behavior arising from an ultraviolet renormalon. In this scheme the normalization constant is expressed in a convergent series that can be calculated using the ordinary perturbative expansion and the nature of the renormalon singularity.