New method for renormalon subtraction using Fourier transform

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 ${\Lambda }_{\mathrm{QCD}}$ efficiently and simultaneously from single-scale observables. We apply it to different observables and examine consistency with theoretical expectations.

arXiv commentVersion 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 $X_{\mathrm{FTRS}}$ 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

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Cited by in corpus (6)

• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments I: Renormalon-Free Gluon Condensate Scheme
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
• Renormalons in static QCD potential: review and some updates
• Renormalon subtraction using Fourier transform: Analyses of simplified models
• Determination of HQET nonperturbative matrix elements with renormalon subtraction using Fourier transform