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

We study three-body nonleptonic decays B → 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 → φKν and B → φKγ branching ratios. We then predict the B → φKγ and B → φφK 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.