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

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arxiv 2109.10811 v2 pith:XTENHKNJ submitted 2021-09-22 hep-ph

classification hep-ph
keywords overlinecolor-allowedcontributionsdecaysrescatteringbranchingdataeffects
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by the reported discrepancies between experimental data and Standard 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 $\overline{B}_{(s)}\to D^{(*)}_{(s)} P$ and $\overline{B}_{(s)}\to D_{(s)} V$, where $P$ ($V$) is a light pseudoscalar (vector) meson. We consider quasi-elastic rescatterings in the framework of $SU(3)$ and $U(3)$ flavor symmetries, and find that the effects cannot explain the measured branching ratios of the color-allowed and color-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 fits prefer a downward shift of $\mathcal{O}(10\%)$ in $a_1$ even in the presence of the quasi-elastic rescattering contributions.

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