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.

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 $X_{\mathrm{FTRS}}$ 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