The $B \to K^\ast ψ$ Polarization Puzzle
We point out that current estimates of form factors fail to explain the non-leptonic decays $B \to ψK(K^{\ast})$ and that the combination of data on the semi-leptonic decays $D \to K(K^{\ast})\ell ν$ and on the non-leptonic decays $B \to ψK(K^{\ast})$ (in particular recent po\-la\-ri\-za\-tion data)...
| Main Authors: | , , , , |
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| Format: | Report |
| Language: | unknown |
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arXiv
1994
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.hep-ph/9412229 https://arxiv.org/abs/hep-ph/9412229 |
| Summary: | We point out that current estimates of form factors fail to explain the non-leptonic decays $B \to ψK(K^{\ast})$ and that the combination of data on the semi-leptonic decays $D \to K(K^{\ast})\ell ν$ and on the non-leptonic decays $B \to ψK(K^{\ast})$ (in particular recent po\-la\-ri\-za\-tion data) severely constrain the form (normalization and $q^2$ 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 $1/m_Q$ corrections to the asymptotic heavy quark scaling laws. We also 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 quark model or on an extension of the \hhs laws to the \hl case, complemented with an approximately constant $A_1(q^2)$. 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 $q^2$ 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. : LATEX 15 pages, Contribution to the First Arctic Workshop on Future Physics and Accelarators, Saariselk\"a, Finland, August 1994 |
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