Renormalon subtraction in OPE using Fourier transform: formulation and application to various observables

Yuuki Hayashi, Yukinari Sumino, Hiromasa Takaura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


Properly separating and subtracting renormalons in the framework of the op- erator product expansion (OPE) is a way to realize high precision computation of QCD effects in high energy physics. We propose a new method (FTRS method), which enables to subtract multiple renormalons simultaneously from a general observable. It utilizes a property of Fourier transform, and the leading Wilson coefficient is written in a one-parameter integral form whose integrand has suppressed (or vanishing) renormalons. The renormalon subtraction scheme coincides with the usual principal-value prescription at large orders. We perform test analyses and subtract the O(ΛQCD4) renormalon from the Adler function, the O(ΛQCD2) renormalon from the B → Xulν¯ decay width, and the O(ΛQCD) and O(ΛQCD2) renormalons from the B, D meson masses. The analyses show good consistency with theoretical expectations, such as improved convergence and scale dependence. In particular we obtain Λ ¯ FTRS = 0.495 ± 0.053 GeV and (μπ2)FTRS = −0.12 ± 0.23 GeV2 for the non-perturbative parameters of HQET. We explain the formulation and analyses in detail.

Original languageEnglish
Article number16
JournalJournal of High Energy Physics
Issue number2
Publication statusPublished - 2022 Feb


  • Effective Field Theories
  • Nonperturbative Effects
  • Perturbative QCD
  • Quark Masses and SM Parameters

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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