Factorization and SU(2) Heavy Flavor Symmetry for B-Meson Decays Producing Charmonium

Abstract

We show that the factorization assumption in color-suppressed $B$ meson decays is not ruled out by experimental data on $B \ra K(K^*) + J/Ψ(Ψ^{'})$. The problem previously pointed out might be due to an inadequate choice of hadronic form factors. Within the Isgur-Wise SU(2) heavy flavor symmetry framework, we search for possible $q^2$ dependence of form factors that are capable of explaining simultaneously the large longitudinal polarization ${\rho }_L$ observed in $B \ra K^* + J/Ψ$ and the relatively small ratio of rates $R_{J/Ψ} = Γ(B \ra K^* + J/Ψ)/Γ(B \ra K + J/Ψ)$. We find out that the puzzle could be essentially understood if the $A_1(q^2)$ form factor is frankly decreasing, instead of being almost constant or increasing as commonly assumed. Of course, the possibility of understanding experimental data is not necessarily a proof of factorization.

arXiv comment35 pages ( Latex ) with 10 figures (available by request)

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Cited by in corpus (14)

• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Study of B Decays to Charmonium States $B\to {\eta }_{c}K$ and $B\to {\chi }_{C0}K$
• Measurement of branching fractions for exclusive B decays to charmonium final states
• B -> J/psi K^* Decays in QCD Factorization
• Final-state interaction and s-quark helicity conservation in B -> J/psi K*
• Measurement of Branching Fractions for $B\to {\eta }_c{K}^{(\ast )}$ Decays
• HQET and Form Factor Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$
• B ->η_c K(η_c^\prime K) decays in QCD factorization
• Spontaneous breaking of the lepton number and invisible majoron in a 3-3-1 model
• Light-front wavefunctions of mesons by design
• Branching Fraction Measurements of B ->etac K Decays
• Application of HQET to $B\to K^{(\ast )}$ Transitions
• Decay b -> (c\bar{c}) s in the leading logarithm approximation
• Angular distribution analysis of $B\to J/\psi K^{\ast }$ and resolving discrete ambiguities in the determination of ${\varphi }_1$