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arXiv 0905.3259hep-ph
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标准模型中$B_s$衰变为粲介子$D_s^+(1968,2317)$的排他过程

Exclusive $B_s$ decays to the charmed mesons $D_s^+(1968,2317)$ in the standard model

Run-Hui Li, Cai-Dian Lu, Yu-Ming Wang

摘要:

采用轻锥和规则方法研究了$\bar B_s^0\to D_{s}^+(2317)$和$\bar B_s^0\to D_s^+(1968)$在大反冲区的跃迁形状因子,其中采用重夸克有效理论描述小反冲区的形状因子.利用得到的形状因子,我们在因子分解方法下对半轻子衰变$\bar B_s^0\to D_s^+(1968,2317) l \barν_l$和非轻子衰变$B_s \to D_s^+(1968,2317) M$($M$为轻介子或粲介子)进行了详细的分析.我们的研究结果表明,$\bar B_s^0\to D_s^+(2317) μ\barν_μ$的分支分数是$2.3 \times 10^{-3}$,这应该是容易检测到的Tevatron和LHC。研究还发现,$\bar B_s^0\to D_s^+(1968) l \barν_l$的分支分数比相应的$B_s^0\to D_s^+(2317) l \barν_l$衰变的分支分数大近一个数量级.对$B_s \to D_s^+(1968,2317) L$($L$表示轻介子)的因式分解假设和$k_T$因式分解的预测的一致性也支持了色允许衰变模式中色透明机制的成功。大多数$B_s$介子的双粲介子衰变都具有很大的分支比。这些通道对于研究粲介子的强子结构以及QCD的非微扰动力学具有重要意义。

英文摘要:

The transition form factors of $\bar B_s^0\to D_{s}^+(2317)$ and $\bar B_s^0\to D_s^+(1968)$ at large recoil region are investigated in the light cone sum rules approach, where the heavy quark effective theory is adopted to describe the form factors at small recoil region. With the form factors obtained, we carry out a detailed analysis on both the semileptonic decays $\bar B_s^0\to D_s^+(1968,2317) l \barν_l$ and nonleptonic decays $B_s \to D_s^+(1968,2317) M$ with $M$ being a light meson or a charmed meson under the factorization approach. Our results show that the branching fraction of $\bar B_s^0\to D_s^+(2317) μ\barν_μ$ is around $2.3 \times 10^{-3}$, which should be detectable with ease at the Tevatron and LHC. It is also found that the branching fractions of $\bar B_s^0\to D_s^+(1968) l \barν_l$ are almost one order larger than those of the corresponding $B_s^0\to D_s^+(2317) l \barν_l$ decays. The consistency of predictions for $B_s \to D_s^+(1968,2317) L$ ($L$ denotes a light meson) in the factorization assumption and $k_T$ factorization also supports the success of color transparency mechanism in the color allowed decay modes. Most two-charmed meson decays of $B_s$ meson possess quite large branching ratios that are accessible in the experiments. These channels are of great importance to explore the hadronic structure of charmed mesons as well as the nonperturbative dynamics of QCD.

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