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arXiv · 2112.14408

Renormalon subtraction using Fourier transform: Analyses of simplified models

Yuuki Hayashi
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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.

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Yuuki Hayashi. 2021-12-29. Renormalon subtraction using Fourier transform: Analyses of simplified models. https://doi.org/10.1007/jhep06(2022)157

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