Critical Analysis of Theoretical Estimates for $B$ to Light Meson Form Factors and the $B\to \psi K(K^{\ast })$ Data

Abstract

We point out that current estimates of form factors fail to explain the non-leptonic decays $B\to \psi K(K^{\ast })$ and that the combination of data on the semi-leptonic decays $D\to K(K^{\ast })\ell \nu$ and on the non-leptonic decays $B\to \psi K(K^{\ast })$ (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 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 quark model or on an extension of the \hhs laws to the \hl case, complemented with an approximately constant $A_1(q^2)$. We analyze in the light of these data and theoretical input various theoretical approaches (lattice calculations, QCD sum rules, quark models) and point out the origin of the difficulties encountered by most of these schemes. In particular we check the compatibility of several quark models with the heavy quark scaling relations.

48 pages, DAPNIA/SPP/94-24, LPTHE-Orsay 94/15

References in corpus (4)

• QCD Calculation of the $B\to \pi ,K$ Form Factors
• The Semileptonic Decays $D\to \pi (\rho )e\nu$ and $B\to \pi (\rho )e\nu$ from QCD Sum Rules
• Exclusive Hadronic B Decays to Charm and Charmonium Final States
• Dominance of the light-quark condensate in the heavy-to-light exclusive decays

Cited by in corpus (42)

• Weak form factors for heavy meson decays: an update
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• Comment on the heavy-->light form factors
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Broken SU(3) Symmetry in Two-Body B Decays
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Factorization theorems, effective field theory, and nonleptonic heavy meson decays
• Heavy --> Light semileptonic decays of pseudoscalar mesons from lattice QCD
• Radiative Weak Decays of Charm Mesons
• Quantitative Predictions for $B$ semileptonic decays into $D,D^{\ast }$ and the orbitally excited $D^{\ast \ast }$ in quark models à la Bakamjian-Thomas
• Measurement of the q2 dependence of the Hadronic Form Factor in D0 --> K- e+ nu_e decays
• Measurement of the Hadronic Form Factor in D0 --> K- e+ nue Decays
• Measurement of branching fractions for exclusive B decays to charmonium final states
• Updated Analysis of a_1 and a_2 in Hadronic Two-body Decays of B Mesons
• Measurement of the Decay Amplitudes and Branching Fractions of $B\to J/\psi K^{\ast }$ and $B\to J/\psi K$ Decays
• Covariant quark model of form factors in the heavy mass limit
• Study of D0 --> pi- e+ nu(e), D+ --> pi0 e+ nu(e), D0 --> K- e+ nu(e), and D+ --> anti-K0 e+ nu(e) in Tagged Decays of the psi(3770) Resonance
• Measurement of the polarisation amplitudes in B0 -> J/psi K*(892)0 decays
• Can $B\to J/\psi K(K^{\ast })$ decays be described by factorization ?
• Ratios of bottom meson branching fractions involving J/psi mesons and determination of b quark fragmentation fractions
• Final-state interaction and s-quark helicity conservation in B -> J/psi K*
• Measurement of the Decay Amplitudes of B0 --> J/psi K* and B0s --> J/psi phi Decays
• Extraction of $a_1$ and $a_2$ from $B\to \psi K(K^{\ast }),D(D^{\ast })\pi (\rho )$ Decays
• Form factors of exclusive $b\to u$ transitions
• HQET and Form Factor Effects in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$
• A lattice study of the exclusive $B\to K^{\ast }\gamma$ decay amplitude, using the Clover action at $\beta =6.0$
• Weak Decays in the light--front Quark Model
• Observation of B^+ -> psi(2S) K^+ and B^0 -> psi(2S) K^*(892)^0 Decays and Measurements of B-Meson Branching Fractions into J/psi and psi(2S) Final States
• Exact Duality and Bjorken Sum Rule in Heavy Quark Models à la Bakamjian-Thomas
• Internal W-emmission and W-exchange Contributions to {\bf B}\to {{\bf D}^{(*)} Decays
• Factorization and SU(2) Heavy Flavor Symmetry for B-Meson Decays Producing Charmonium
• New CP observables in B0(t) -> hyperon + antihyperon from parity violation in the sequential decay
• Properties of the ${\eta }_q$ leading-twist distribution amplitude and its effects to the $B/D^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays
• Study of Semileptonic Decays $B^{\pm }\to {\eta }^{(\prime )}l\nu$
• First Lattice Study of the Form Factors A_0 and A_3 in the Decay Bbar^0 to rho^+ l^- nubar_l
• Study of $B\to \psi (2S)K$ and $B\to \psi (2S)K^{\ast }$(892) Decays
• Factorization versus Duality in Nonleptonic decays, a Quark Model Approach
• Application of HQET to $B\to K^{(\ast )}$ Transitions
• Non Standard $\eta -{\eta }^{\prime }$ mixing and the Nonleptonic B and ${\Lambda }_b$ Decays to $\eta$ and ${\eta }^{\prime }$
• Charmless B Decays to Final States with Radially Excited Vector Mesons
• $B\to \rho \ell {\nu }_{\ell }$ Form Factors
• $\rho$ Polarization and `Model Independent' Extraction of $|V_{ub}|/|V_{cd}|$ from $D\to \rho \ell \nu$ and $B\to \rho \ell \nu$