On the short distance nonperturbative corrections in heavy quark expansion

TL;DR

This paper investigates how renormalon effects, modeled via a finite gluon mass, impact the accuracy of heavy hadron decay width calculations, revealing about 10% corrections and implications for quark-hadron duality assumptions.

Contribution

It introduces a method to estimate short-distance nonperturbative corrections in heavy quark expansion using a finite gluon mass model.

Findings

Renormalon corrections are approximately 10% of the decay rate.

Implications for the validity of quark-hadron duality in heavy quark expansion.

Highlights the significance of short-distance nonperturbative effects.

Abstract

We study the corrections due to renormalons to the heavy hadron decay width.The renormalons contribution estimated in terms of finite gluon mass based on the assumption that the gluon mass represents the short distance nonperturbative effects in the standard OPE (and hence in the heavy quark expansion). We found that the corrections are about 10% of the leading decay rate. We point out the implications for the assumption of quark-hadron duality in heavy quark expansion.