The Isgur-Wise Function to $O({\alpha }_s)$ from Sum Rules in the Heavy Quark Effective Theory

Abstract

Radiative corrections to both perturbative and non-perturbative contributions are added to existing calculations of the Isgur-Wise function ${\xi }_{IW}$. To this end, we develop a method for calculating two-loop integrals in the heavy quark effective theory involving two different scales. The inclusion of $O({\alpha }_s)$ terms causes ${\xi }_{IW}$ to decrease as compared to the lowest order result and shows the importance of quantum effects. The slope parameter ${\rho }^2$ violates the bound given by de Rafael and Taron.

Comments: 11 pages, 2 figures (not included), (LaTeX), HD-THEP-92-40