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Motivated by the reported discrepancies between experimental data andStandard Model predictions for the branching ratios of the color-allowed decays$\overline{B}^0 \to D^{(*)+}K^-$ and $\overline{B}^0_s \to D^{(*)+}_s \pi^-$,we study final-state rescattering effects on $\overline{B}_{(s)}\toD^{(*)}_{(s)} P$ and $\overline{B}_{(s)}\to D_{(s)} V$, where $P$ ($V$) is alight pseudoscalar (vector) meson. We consider quasi-elastic rescatterings inthe framework of $SU(3)$ and $U(3)$ flavor symmetries, and find that theeffects cannot explain the measured branching ratios of the color-allowed andcolor-suppressed decays simultaneously. We also perform global fits to the$\overline{B}_{(s)}\to D^{(*)}_{(s)} P$ and $\overline{B}_{(s)}\to D_{(s)} V$data, allowing for new physics contributions to the Wilson coefficient $a_1$associated with the color-allowed tree amplitudes. It is shown that the fitsprefer a downward shift of $\mathcal{O}(10\%)$ in $a_1$ even in the presence ofthe quasi-elastic rescattering contributions.

Revisiting rescattering contributions to $\overline{B}_{(s)}\to D^{(*)}_{(s)} M$ decays