English

New method for renormalon subtraction using Fourier transform

High Energy Physics - Phenomenology 2021-06-04 v2

Abstract

To improve accuracy in calculating QCD effects, we propose a method for renormalon subtraction in the context of the operator-product expansion. The method enables subtracting renormalons of various powers in ΛQCD\Lambda_{\rm QCD} efficiently and simultaneously from single-scale observables. We apply it to different observables and examine consistency with theoretical expectations.

Keywords

Cite

@article{arxiv.2012.15670,
  title  = {New method for renormalon subtraction using Fourier transform},
  author = {Yuuki Hayashi and Yukinari Sumino and Hiromasa Takaura},
  journal= {arXiv preprint arXiv:2012.15670},
  year   = {2021}
}

Comments

Version to appear in Phys. Lett. B, detailed explanation for relation between our method and PV prescription is added, how to compute $\tilde{X}$ in N$^k$LL approximation is added, expression for numerical calculation of $X_{\rm FTRS}$ is added, analysis of B, D meson mass is improved, we put "Note added" at the end, some minor modifications and a few reference are added, 12 pages, 3 figures

R2 v1 2026-06-23T21:38:59.464Z