Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-04-10
Phys.Rev. D70 (2004) 054006
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 1 figure, Revtex4, version to appear in PRD
Scientific paper
10.1103/PhysRevD.70.054006
We study three-body nonleptonic decays $B\to VVP$ by introducing two-meson distribution amplitudes for the vector-pseudoscalar pair, such that the analysis is simplified into the one for two-body decays. The twist-2 and twist-3 $\phi K$ two-meson distribution amplitudes, associated with longitudinally and transversely polarized $\phi$ mesons, are constrained by the experimental data of the $\tau\to\phi K\nu$ and $B\to\phi K\gamma$ branching ratios. We then predict the $B\to\phi K\gamma$ and $B\to\phi\phi K$ decay spectra in the $\phi K$ invariant mass. Since the resonant contribution in the $\phi K$ channel is negligible, the above decay spectra provide a clean test for the application of two-meson distribution amplitudes to three-body $B$ meson decays.
Chen Chuan-Hung
Li Hsiang-nan
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