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Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays

Chuan-Hung Chen·Hsiang-nan Li
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Abstract

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 $ϕK$ two-meson distribution amplitudes, associated with longitudinally and transversely polarized $ϕ$ mesons, are constrained by the experimental data of the $τ\toϕKν$ and $B\toϕKγ$ branching ratios. We then predict the $B\toϕKγ$ and $B\toϕϕK$ decay spectra in the $ϕK$ invariant mass. Since the resonant contribution in the $ϕK$ 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.

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Chuan-Hung Chen, Hsiang-nan Li. 2004-07-12. Vector-pseudoscalar two-meson distribution amplitudes in three-body $B$ meson decays. https://doi.org/10.1103/physrevd.70.054006

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