Renormalon subtraction using Fourier transform: Analyses of simplified models

Abstract

For precise QCD prediction of observables, the ambiguity due to renormalons in perturbative calculations should be appropriately separated from Wilson coefficients in the framework of the operator-product-expansion. Recently, a new method has been developed which utilizes the properties of Fourier transform to separate multiple renormalons simultaneously from the Wilson coefficients. To understand how this method works analytically, we perform a renormalon separation from various toy models with the one-loop beta function. We confirm that each of the results is consistent with the theoretical expectations. In addition, we present a new formula for the resummation of UV renormalons and study its validity using one of the toy models.

24 pages, 6 figures; minor modifications added; version to appear in JHEP

References in corpus (4)

• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• New method for renormalon subtraction using Fourier transform
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation

Cited by in corpus (1)

• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD