Abstract
The form factors for the semi-leptonic B→ D and B→D ∗ decays are evaluated in quenched lattice QCD at two different values of the coupling, β=6.0 and 6.2. The action and the operators are fully O(a) non-perturbatively improved. The slope of the Isgur–Wise function is evaluated, and found to be ρ 2=0.83 +15+24 −11−22 (quoted errors are statistical and systematic, respectively). Ratios of form factors are evaluated and compared to experimental determinations.
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