We provide updated predictions for the hadronic decays \(\bar{B}_s^0\rightarrow D_s^{(*)+} \pi ^-\) and \(\bar{B}^0\rightarrow D^{(*)+} K^-\). They are based on \({\mathcal {O}}(\alpha _s^2)\) results for the QCD factorization amplitudes at leading power and on recent results for the \(\bar{B}_{(s)} \rightarrow D_{(s)}^{(*)}\) form factors up to order \(\mathcal{O}(\Lambda _\mathrm{QCD}^2/m_c^2)\) in the heavy-quark expansion. We give quantitative estimates of the matrix elements entering the hadronic decay amplitudes at order \(\mathcal{O}(\Lambda _\mathrm{QCD}/m_b)\) for the first time. Our results are very precise, and uncover a substantial discrepancy between the theory predictions and the experimental measurements. We explore two possibilities for this discrepancy: non-factorizable contributions larger than predicted by the QCD factorization power counting, and contributions beyond the Standard Model. We determine the \(f_s/f_d\) fragmentation fraction for the CDF, D0 and LHCb experiments for both scenarios.

我们提供了强子衰变\（\ bar {B} _s ^ 0 \ rightarrow D_s ^ {（*）+} \ pi ^-\）和\（\ bar {B} ^ 0 \ rightarrow D ^ {（ *）+} K ^-\）。它们基于\（{\ mathcal {O}}（\ alpha _s ^ 2）\）在领先功率下的QCD分解幅度的结果以及\（\ bar {B} _ {{s}}的最新结果\ RIGHTARROW d _ {（S）} ^ {（*）} \）外形达顺序\（\ mathcal {Ó}（\ LAMBDA _ \ mathrm {QCD} ^ 2 / M_C ^ 2）\）在重链夸克膨胀。我们给出以\（\ mathcal {O}（\ Lambda _ \ mathrm {QCD} / m_b）\）的顺序进入强子衰变幅度的矩阵元素的定量估计。首次。我们的结果非常精确，并且揭示了理论预测与实验测量之间的巨大差异。我们探索了这种差异的两种可能性：大于QCD因数分解能力计数预测的因数分解贡献，以及超出标准模型的贡献。我们确定两种情况下CDF，D0和LHCb实验的\（f_s / f_d \）碎片分数。