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We point out that current estimates of form factors fail to explain thenon-leptonic decays $B \to \psi K(K^{\ast})$ and that the combination of dataon the semi-leptonic decays $D \to K(K^{\ast})\ell \nu$ and on the non-leptonicdecays $B \to \psi K(K^{\ast})$ (in particular recent po\-la\-ri\-za\-tiondata) severely constrain the form (normalization and $q^2$ dependence) of theheavy-to-light meson form factors, if we assume the factorization hypothesisfor the latter. From a simultaneous fit to \bpsi and \dk data we find thatstrict heavy quark limit scaling laws do not hold when going from $D$ to $B$and must have large corrections that make softer the dependence on the masses.We find that $A_1(q^2)$ should increase slower with \qq than $A_2, V, f_+$.  We propose a simple parametrization of these corrections based on a quarkmodel or on an extension of the \hhs laws to the \hl case, complemented with anapproximately constant $A_1(q^2)$. We analyze in the light of these data andtheoretical input various theoretical approaches (lattice calculations, QCD sumrules, quark models) and point out the origin of the difficulties encounteredby most of these schemes. In particular we check the compatibility of severalquark models with the heavy quark scaling relations.Comment: 48 pages, DAPNIA/SPP/94-24, LPTHE-Orsay 94/1

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

Critical analysis of theoretical estimates forB-to-light-meson form factors andB→ψK(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">K</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">*</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>) data using factorization

Critical analysis of theoretical estimates forB-to-light-meson form factors andB→ψK(K*) data using factorization