$\bar{B}_{(s)}^0 \to D_{(s)}^{(*)+} \lbrace π^-, K^-\rbrace$衰变中的一个难题和$f_s/f_d$碎片级分的提取
A puzzle in $\bar{B}_{(s)}^0 \to D_{(s)}^{(*)+} \lbrace π^-, K^-\rbrace$ decays and extraction of the $f_s/f_d$ fragmentation fraction
摘要：
我们提供了强子衰变$\bar{B}_s^0\to D_s^{(*)+} π^-$和$\bar{B}^0\to D^{(*)+} K^-$的最新预测。它们是基于$\mathcal{O}(α_s^2)$结果的QCD因式分解振幅在领先的权力和最近的结果$\bar{B}_{(s)} \to D_{(s)}^{(*)}$形状因子的顺序${\cal O}(Λ_{\rm QCD}^2/m_c^2)$在重夸克展开。首次给出了进入${\cal O}(Λ_{\rm QCD}/m_b)$阶强子衰变振幅的矩阵元的定量估计。我们的结果是非常精确的，并揭示了理论预测和实验测量之间的实质性差异。我们探讨了这种差异的两种可能性：不可因式分解的贡献大于QCD因式分解功率计数的预测，以及超出标准模型的贡献。我们确定的$f_s/f_d$碎片分数的CDF，D0和LHCb实验的两种情况。
英文摘要：
We provide updated predictions for the hadronic decays $\bar{B}_s^0\to D_s^{(*)+} π^-$ and $\bar{B}^0\to D^{(*)+} K^-$. They are based on $\mathcal{O}(α_s^2)$ results for the QCD factorization amplitudes at leading power and on recent results for the $\bar{B}_{(s)} \to D_{(s)}^{(*)}$ form factors up to order ${\cal O}(Λ_{\rm QCD}^2/m_c^2)$ in the heavy-quark expansion. We give quantitative estimates of the matrix elements entering the hadronic decay amplitudes at order ${\cal O}(Λ_{\rm QCD}/m_b)$ 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.
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