Two-loop corrections to the Isgur-Wise function in QCD sum rules

Details Two-loop corrections to the Isgur-Wise function in QCD sum rules Two-loop corrections to the Isgur-Wise function in QCD sum rules

1992-11-24

arxiv.org/abs/hep-ph/9211302v1

Phys.Rev. D47 (1993) 4063-4076

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages (REVTEX), 2 figures available upon request, SLAC-PUB-5992

Scientific paper

10.1103/PhysRevD.47.4063

We complete the QCD sum rule analysis of the Isgur Wise form factor $\xi(v\cdot v')$ at next-to-leading order in renormalization-group improved perturbation theory. To this end, the exact result for the two-loop corrections to the perturbative contribution is derived using the heavy quark effective theory. Several techniques for the evaluation of two-loop integrals involving two different types of heavy quark propagators are discussed in detail, among them the methods of integration by parts and differential equations. The order-$\alpha_s$ corrections to the Isgur-Wise function turn out to be small and well under control. At large recoil, they tend to decrease the form factor by $5-10\%$.

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