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With updated experimental data and improved theoretical calculations, severalsignificant deviations are being observed between the Standard Modelpredictions and the experimental measurements of the branching ratios of$\bar{B}_{(s)}^0\to D_{(s)}^{(*)+} L^-$ decays, where $L$ is a light meson fromthe set $\{\pi,\rho,K^{(\ast)}\}$. Especially for the two channels$\bar{B}^0\to D^{+}K^-$ and $\bar{B}_{s}^0\to D_{s}^{+}\pi^-$, both of whichare free of the weak annihilation contribution, the deviations observed caneven reach 4-5$\sigma$. Here we exploit possible new-physics effects in theseclass-I non-leptonic $B$-meson decays within the framework of QCDfactorization. Firstly, we perform a model-independent analysis of the effectsfrom twenty linearly independent four-quark operators that can contribute,either directly or through operator mixing, to the quark-level $b\to c\bar{u}d(s)$ transitions. It is found that, under the combined constraints from thecurrent experimental data, the deviations observed could be well explained atthe $1\sigma$ level by the new-physics four-quark operators with$\gamma^{\mu}(1-\gamma_5)\otimes\gamma_{\mu} (1-\gamma_5)$ structure, and alsoat the $2\sigma$ level by the operators with $(1+\gamma_5)\otimes(1-\gamma_5)$and $(1+\gamma_5)\otimes(1+\gamma_5)$ structures. However, the new-physicsfour-quark operators with other Dirac structures fail to provide a consistentinterpretation, even at the $2\sigma$ level. Then, as two specific examples ofmodel-dependent considerations, we discuss the case where the new-physicsfour-quark operators are generated by either a colorless charged gauge boson ora colorless charged scalar, with their masses fixed both at the $1$~TeV.Constraints on the effective coefficients describing the couplings of thesemediators to the relevant quarks are obtained by fitting to the currentexperimental data.

Probing new physics in class-I $B$-meson decays into heavy-light final states