1994/12/05 by R. Aleksan, A. Le Yaouanc, Aleksan, R. +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9412229
LATEX 15 pages, Contribution to the First Arctic Workshop on Future Physics and Accelarators, Saariselkä, Finland, August 1994
arxiv created 1994/12/05 · arxiv updated 2009/11/30
We point out that current estimates of form factors fail to explain the non-leptonic decays B → ψK(K∗) and that the combination of data on the semi-leptonic decays D → K(K∗)ℓ ν and on the non-leptonic decays B → ψK(K∗) (in particular recent po\-la\-ri\-za\-tion data) severely constrain the form (normalization and q2 dependence) of the heavy-to-light meson form factors, if we assume the factorization hypothesis for the latter. From a simultaneous fit to \bpsi and \dk data we find that strict heavy quark limit scaling laws applied to the form factors do not hold when going from D to B and must have large corrections that make softer the dependence on the masses. This is in contrast with the matrix elements themselves which are found to need smaller 1/mQ corrections to the asymptotic heavy quark scaling laws. We also find that A1(q2) should increase slower with \qq than A2, V, f+. We propose a simple parametrization of these corrections based on a quark model or on an extension of the \hhs laws to the \hl case, complemented with an approximately constant A1(q2). This model may be viewed as assuming a precocious validity of strict heavy quark scaling laws for the current matrix elements. Although this model reproduces qualitatively the wanted features for mass and q2 dependence, and thus reduces the discrepancy with data, it is insufficient to reach a full agreement with the experiment. In our opinion the puzzle is still there.