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arXiv 2102.04691hep-ph
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$D_{(s)}^\ast$的作用及其对$B_{(s)}\to D_{(s)} h h^\prime$衰变的贡献

The role of $D_{(s)}^\ast$ and their contributions in $B_{(s)}\to D_{(s)} h h^\prime$ decays

Jian Chai, Shan Cheng, Wen-Fei Wang

备注：
24 pages, 3 figures, 6 tables, minor correction, typos removed
发表信息：
Phys. Rev. D 103, 096016 (2021)
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摘要：

用微扰QCD方法研究了由夸克味改变$\bar{b} \to \bar{c} \, q_2 \, \bar{q}_1$和$q_1, q_2 = \{s/d, u\}$改变$\bar{b} \to c \, \bar{q_1} \, \bar{q_2}$引起的准二体衰变$B_{(s)} \to D_{(s)} h h^\prime$（$h, h^\prime = \{π, K\}$）中$D_{(s)}^\ast$的作用及其贡献.本研究的主要动机是在$B$工厂和LHC的通道$B_{(s)} \to D_{(s)} h h^\prime$中测量来自简单相空间模型的重要衍生物，现在被澄清为来自相应中间共振态$D_{(s)}^\ast$的Breit-Wigner-tail效应。我们证实了在准二体$B_{(s)} \to D ππ(K)$衰变通道中，$D^\ast$的这种效应很小（$\sim 5\%$），并预测了$D^\ast$在$B_{(s)} \to D_s K π(K)$衰变通道中的微小贡献（$< 1 \%$），对于$B_s \to D K π(K)$衰变通道，我们的结果仅由$D_s^\ast$的Breit-Wigner-tail效应贡献，与目前的LHCb测量结果一致.我们建议Belle-II和LHCb合作重新研究过程$B^+\to \bar D^{\ast 0}π^+(K^+) \to D^-π^+π^+(K^+)$，以揭示$D^{\ast 0}$的结构和强衰变$D^{\ast 0} \to D^+ π^-$。

英文摘要：

We demonstrate the roles of $D_{(s)}^\ast$ and their contributions in the quasi-two-body decays $B_{(s)} \to D_{(s)} h h^\prime$ ($h, h^\prime = \{π, K\}$) in the perturbative QCD approach, stemming from the quark flavour changing $\bar{b} \to \bar{c} \, q_2 \, \bar{q}_1$ and $\bar{b} \to c \, \bar{q_1} \, \bar{q_2}$ with $q_1, q_2 = \{s/d, u\}$. The main motivation of this study is the measurements of significant derivations from the simple phase-space model in the channels $B_{(s)} \to D_{(s)} h h^\prime$ at $B$ factories and LHC, which is now clarified as the Breit-Wigner-tail effects from the corresponding intermediate resonant states $D_{(s)}^\ast$. We confirm that these effect from $D^\ast$ is small ($\sim 5\%$) in the quasi-two-body $B_{(s)} \to D ππ(K)$ decaying channels, and predict the tiny ($< 1 \%$) contributions from $D^\ast$ in the $B_{(s)} \to D_s K π(K)$ decaying channels, our result for the $B_s \to D K π(K)$ decaying channels contributed only from the Breit-Wigner-tail effect of $D_s^\ast$ is in agreement with the current LHCb measurement. We recommend the Belle-II and the LHCb collaborations to restudy the processes $B^+\to \bar D^{\ast 0}π^+(K^+) \to D^-π^+π^+(K^+)$ to reveal the structure of $D^{\ast 0}$ and the strong decay $D^{\ast 0} \to D^+ π^-$.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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