Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons

Details Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons Flavor SU(3) Symmetry and Factorization in B Decays to Two Charmless Vector Mesons

1998-12-31

arxiv.org/abs/hep-ph/9812530v2

Phys.Rev. D60 (1999) 034006

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 1 figure, LaTex file; Corrections to some typos; to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.60.034006

We first present a model-independent analysis using flavor SU(3) symmetry with SU(3) breaking effects in $B$ decays to two charmless vector mesons ($VV$) in the final state. In order to bridge the flavor SU(3) symmetry approach and the factorization approach in $B \to VV$ decays, we explicitly show how to translate each SU(3) amplitude into a corresponding amplitude in factorization. Various decay modes, including $B \to K^* \phi$ which is so far the only $B \to VV$ mode having some experimental evidence, are discussed in both the SU(3) symmetry and factorization approaches. Within the generalized factorization approximation, the flavor SU(3) amplitudes and SU(3) breaking effects are numerically estimated as a function of the parameter $\xi \equiv 1/ N_c$ ($N_c$ the effective number of color).

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