Improved Estimates for the Parameters of the Heavy Quark Expansion

TL;DR

This paper refines theoretical estimates for non-perturbative parameters in the heavy quark expansion, improving accuracy and assessing uncertainties, especially for higher-order parameters where data extraction is infeasible.

Contribution

It introduces an improved method for estimating higher-order parameters in the heavy quark expansion and evaluates the uncertainties of these estimates.

Findings

Enhanced estimates for non-perturbative parameters

Quantified uncertainties in higher-order parameter estimates

Provided a more reliable theoretical framework for heavy quark decay analysis

Abstract

We give improved estimates for the non-perturbative parameters appearing in the heavy quark expansion for inclusive decays. While the parameters appearing in low orders of this expansion can be extracted from data, the number of parameters in higher orders proliferates strongly, making a determination of these parameters from data impossible. Thus, one has to rely on theoretical estimates which may be obtained from an insertion of intermediate states. In this paper we refine this method and attempt to estimate the uncertainties of this approach.