BLM-Resummation and OPE in Heavy Flavor Transitions

Abstract

An all-order resummation is performed for the effect of the running of the strong coupling in the zero recoil sum rule for the axial current and for the kinetic operator \vec\pi^2. The perturbative corrections to well-defined objects of OPE turn out to be very moderate. The renormalization of the kinetic operator is addressed.

Comments: 19 pages, 7 Figures as separate .ps files; plain LaTeX Some discussions are extended; Appendix and Figs. 7 added; typos in equations corrected; some stylistic changes made, and the preprint number added