QCD improved estimates to rare B-Decays at the heavy b-quark limit

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The renormalization effects from the b-quark scale down to the non-perturbative QCD regime are studied for rare $B$-decays at the heavy b-quark limit. Phenomenological consequences of these effects are investigated. We find that the anomalous scaling behavior plays a positive role in making non-perturbative model calculations consistent with recent CLEO measurements of $B\rightarrow K^* γ.$
15, IC/93/323

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