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Using the recent experimental data of $B\to D^{(*)}(\pi,\rho)$, $B\to D^{(*)}D_s^{(*)}$, $B\to J/\psi K^{(*)}$ and various model calculations on formfactors, we re-analyze the effective coefficients a_1 and a_2 and their ratio.QCD and electroweak penguin corrections to a_1 from $B\to D^{(*)}D_s^{(*)}$ anda_2 from $B\to J/\psi K^{(*)}$ are estimated. In addition to themodel-dependent determination, the effective coefficient a_1 is also extractedin a model-independent way as the decay modes $B\to D^{(*)}h$ are related byfactorization to the measured semileptonic distribution of $B\to D^{(*)}\ell\bar\nu$ at $q^2=m_h^2$. Moreover, this enables us to extract model-independentheavy-to-heavy form factors, for example,$F_0^{BD}(m_\pi^2)=0.66\pm0.06\pm0.05$ and$A_0^{BD^*}(m_\pi^2)=0.56\pm0.03\pm0.04$. The determination of the magnitude ofa_2 from $B\to J/\psi K^{(*)}$ depends on the form factors $F_1^{BK}$,$A_{1,2}^{BK^*}$ and $V^{BK^*}$ at $q^2=m^2_{J/\psi}$. By requiring that a_2 beprocess insensitive (i.e., the value of a_2 extracted from $J/\psi K$ and$J/\psi K^*$ states should be similar), as implied by the factorizationhypothesis, we find that $B\to K^{(*)}$ form factors are severely constrained;they respect the relation $F_1^{BK}(m^2_{J/\psi})\approx 1.9A_1^{BK^*}(m^2_{J/\psi})$. Form factors $A_2^{BK^*}$ and $V^{BK^*}$ at$q^2=m^2_{J/\psi}$ inferred from the measurements of the longitudinalpolarization fraction and the P-wave component in $B\to J/\psi K^*$ areobtained. A stringent upper limit on a_2 is derived from the current bound on$\ov B^0\to D^0\pi^0$ and it is sensitive to final-state interactions.Comment: 33 pages, 2 figures. Typos in Tables I and IX are corrected. To  appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Updated analysis ofa1anda2in hadronic two-body decays ofBmesons