Form Factor $A_0(q^2)$, Non Leptonic $D(B) \to PV$ Transitions and Rare $B \to K^* γ$ Decays

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.51.2237

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 $D (B) \to P V$ decays and analyze the light $SU(3)_F$ symmetry breaking effects. We also discuss a proposal to relate the branching ratio of $B \to K^* \gamma$ to the spectrum of the semileptonic $B \to \rho \ell \nu$ decay.

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