Measurement of the branching fractions of the rare decays B0→Ds(*)+π-, B0→Ds(*)+ρ-, and B0→Ds(*)-K(*)+

We report the measurement of the branching fractions of the rare decays B0→Ds(*)+π-, B0→Ds(*)+ρ-, and B0→Ds(*)-K(*)+ in a sample of 381×106Υ(4S) decays into BB̅ pairs collected with the BABAR detector at the PEP-II asymmetric-energy e+e- storage ring. We present evidence for the decay B0→Ds-K*+ and the vector-vector decays B0→Ds*+ρ- and B0→Ds*-K*+, as well as the first measurement of the vector meson polarization in these decays. We also determine the ratios of the CKM-suppressed to CKM-favored amplitudes r(D(*)π) and r(D(*)ρ) in decays B0→D(*)±π∓ and B0→D(*)±ρ∓, and comment on the prospects for measuring the CP observable sin⁡(2β+γ).