Analysis of the QCD-improved factorization in B -> J/ψK

Abstract

We consider the exclusive decay $B\to J/\psi K$ using the QCD-improved factorization method in the heavy quark limit. It is shown that the decay amplitude is factorizable in this limit and nonfactorizable contributions are calculable from first principles in perturbation theory. Also the spectator contributions at order ${\alpha }_s$ are finite and suppressed in the heavy quark limit. We present the result at next-to-leading order in strong interaction, and leading order in $1/m_b$ in the heavy quark limit.

Revised version- A major change in the organization of the paper. A new numerical analysis and more references added. 13 pages, 1 figure