On the short distance nonperturbative corrections in heavy quark expansion

Abstract

We estimate the renormalon corrections to the inclusive decay rate of heavy hadrons. We assume the gluon mass term ${\lambda }^2\gg {‘}^2$ to imitate the short distance nonperturbative effects. It is found that the the inclusive decay rates are corrected by an amount of about 0.2 ${\Gamma }_0$ for $B$ meson and 0.21 ${\Gamma }_0$ for baryon. This is significant in view of the discrepancy of lifetimes of $B$ and $\text{lbb}$.

Comments: Talk given at Latttice 2000, Aug. 17 - 22, 2000, Bangalore, India