B -> J/psi K^* Decays in QCD Factorization

Abstract

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.

21 pages, 1 figure, a table and a reference added, some typos corrected

References in corpus (6)

• Comments on Color-Suppressed Hadronic B Decays
• Charmless B -> VV Decays in QCD Factorization: Implications of Recent $B\to \varphi K^{\ast }$ Measurement
• Measurement of the B-->J/psi K^*(892) decay amplitudes
• Observation of Color-suppressed ${\bar{B}}^0\to D^0{\pi }^0$, $D^{\ast 0}{\pi }^0$, $D^0\eta$, and $D^0\omega$ Decays
• Observation of ${\bar{B}}^0\to D^0{\pi }^0$ and ${\bar{B}}^0\to D^{\ast 0}{\pi }^0$
• Final-state interaction and s-quark helicity conservation in B -> J/psi K*

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