Form Factor $A_0(q^2)$, Non Leptonic $D(B)\to PV$ Transitions and Rare $B\to K^{\ast }\gamma$ Decays

Abstract

We use three-point function QCD sum rules to calculate the form factor $A_0(q^2)$ appearing in the matrix element of the flavour-changing axial current between the $D(B)$ state and a vector meson state. We describe the role of this form factor in nonleptonic $D(B)\to PV$ decays and analyze the light $SU(3{)}_F$ symmetry breaking effects. We also discuss a proposal to relate the branching ratio of $B\to K^{\ast }\gamma$ to the spectrum of the semileptonic $B\to \rho \ell \nu$ decay.

arXiv commentLaTex, 17 pages, 3 figures (PostScript files appended at the end), BARI-TH/94-174, DSF-T-94/12, INFN-NA-IV-94/12

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Cited by in corpus (12)

• Nonleptonic weak decays of charmed mesons
• QCD Sum Rule Analysis of the Decays $B\to K{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$
• Form Factor Relations for Heavy-to-Light Transitions
• Semileptonic B -> rho and B -> a_1 transitions in a quark-meson model
• Weak Decays in the light--front Quark Model
• Search for the Rare Decays B^+ -> mu^+ mu^- K^+, B^0 -> mu^+ mu^- K^*0(892), and B^0_s -> mu^+ mu^- phi at CDF
• Tests of the nature and of the gluon content of the σ(0.6) from D and D_{s} semileptonic decays
• Semileptonic B -> a_1 l nu decay in QCD
• Charm and Bottom Semileptonic Decays
• TESTS OF FACTORIZATION IN COLOR SUPPRESSED NONLEPTONIC B DECAY MODES,
• First Lattice Study of the Form Factors A_0 and A_3 in the Decay Bbar^0 to rho^+ l^- nubar_l
• Heavy-to-Light Meson Transitions in QCD