Determination of HQET nonperturbative matrix elements with renormalon subtraction using Fourier transform

Abstract

As higher order perturbative series are available, it is becoming necessary to include nonperturbative effects in QCD calculations using the OPE. In order to systematically determine nonperturbative effects and to incorporate them into theoretical calculations, the renormalon problem should be resolved. We use a renormalon subtraction method utilizing Fourier transform to determine nonperturbative matrix elements of HQET, $\bar{\Lambda}$ and $\mu_{\pi}^2$. This is the first determination performed with subtraction of the $u=1$ renormalon.