Comment on the Renormalization Group Improvement in Exclusive $b\ra c $ Transitions

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages Revised: PS file for Fig.1 corrupted my mailer is replaced by the uuencoded one. Plain LaTeX

Scientific paper

10.1142/S0217732395001939

Using rather general consideration I argue that the numerical impact of the existing next-to-leading logarithmic summations of terms $\log{m_b/m_c}$ for perturbative factors $\eta_A$, $\eta_V$ in the exclusive zero recoil semileptonic transitions is irrelevant, and adopting corresponding corrections beyond the exact one loop result for both estimating the values of these formfactors and their theoretical uncertainty, is misleading. The central theoretical value if taken literally is then $\eta_A\simeq 0.97$.

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