The Isgur-Wise Function to $O(α_s)$ from Sum Rules in the Heavy Quark Effective Theory

Details The Isgur-Wise Function to $O(α_s)$ from Sum Rules in the Heavy Quark Effective Theory The Isgur-Wise Function to $O(α_s)$ from Sum Rules in the Heavy Quark Effective Theory

1992-09-24

arxiv.org/abs/hep-ph/9209277v1

Phys.Lett.B301:249-256,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0370-2693(93)90697-G

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.

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