Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-11-08
Phys.Rev.D65:094023,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 1 figure, a table and a reference added, some typos corrected
Scientific paper
10.1103/PhysRevD.65.094023
The hadronic decay B -> J K^* is analyzed within the framework of QCD factorization. The spin amplitudes A_0, A_\parallel and A_\perp in the transversity basis and their relative phases are studied using various different form-factor models for B-K^* transition. The effective parameters a_2^h for helicity h=0,+,- states receive different nonfactorizable contributions and hence they are helicity dependent, contrary to naive factorization where a_2^h are universal and polarization independent. QCD factorization breaks down even at the twist-2 level for transverse hard spectator interactions. Although a nontrivial strong phase for the A_\parallel amplitude can be achieved by adjusting the phase of an infrared divergent contribution, the present QCD factorization calculation cannot say anything definite about the phase phi_\parallel. Unlike B -> J/psi K decays, the longitudinal parameter a_2^0 for B -> J/psi K^* does not receive twist-3 corrections and is not large enough to account for the observed branching ratio and the fraction of longitudinal polarization. Possible enhancement mechanisms for a_2^0 are discussed.
Cheng Hai-Yang
Keum Yong-Yeon
Yang Kwei-Chou
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