Perturbative QCD study on the photonic penguin contributions to the decay $B\to K^{\ast }\gamma$

Abstract

Including corrections of order $O(m_{K^{\ast }}/m_B)$, we present an analysis of photonic penguin contributions to the decay $B\to K^{\ast }\gamma$ in the perturbative QCD framework. Employing several models of the meson wave functions, we demonstrate that the corrections of $O(m_{K^{\ast }}/m_B)$ are enhanced and will providesubstantial contributions to the decay because of the B meson wave function being sharply peaked (bound state effect). The numerical predictions for the corrections are about $30$ which depend on the non-perturbative inputs such as the meson wave functions and the $b$-quark mass.

Comments: 13 pages, latex, 2 PostScript figures, more meson wave function models are employed in numerical calculation, the text is revised substantially, to be published in Z. Phys. C