论文标题

对三体的共振贡献$ b _ {(s)} \ tor [d^{(*)},\ bar {d}^{(*)}] k^+k^ - $ $ $ $ $ $在扰动QCD方法中衰减

Resonant contributions to three-body $B_{(s)} \to [ D^{(*)}, \bar{D}^{(*)} ] K^+K^-$ decays in the perturbative QCD approach

论文作者

Li, Ya, Yan, Da-Cheng, Rui, Zhou, Liu, Lan, Zhang, Yue-Tong, Xiao, Zhen-Jun

论文摘要

在这项工作中,我们研究了$ s $,$ p $和$ d $ wave ressonance损失$ b _ {(s)} \ to [d^{(*)},\ bar {d}^{(*){(*)}^{(*)}} k^+k^ - $通过扰动qccd(pqcd(pqcd)的群体, $ F_0(980),F_0(1370),$ $ $ ϕ(1020),ϕ(1680),f_2(1270),f^{\ prime} _2(1525),f_2(1750)$和$ f_2(1950)$ resonances $ resonances $ resonances。 $ kk $ $ s $ - 波组件$ f_0(980)$是用扁平形式主义建模的,而其他共鸣则由相对论的breit-wigner(bw)线形成。通过构建Kaon-Kaon分布幅度$φ_{KK} $来研究相应的衰减通道,该份子捕获了共振区域中Kaon对之间重要的最终状态相互作用。我们发现,对大多数考虑的衰减的分支比率的PQCD预测与错误中当前可用的数据一致。还可以预测这些向量矢量和矢量调节衰减模式的相关极化部分,预计将在不久的将来的实验中进行测试。 $ b _ {(s)} \ to [d^{(*)},\ bar {d}^{(*)}] k^+k^ - $衰减的不变质谱是可以与LHCB和Belle II实验的确切数据面对面的。

In this work, we study the $S$, $P$ and $D$ wave resonance contributions to three-body decays $B_{(s)} \to [ D^{(*)}, \bar{D}^{(*)} ] K^+K^-$ by employing the perturbative QCD (PQCD) approach, where the kaon-kaon invariant mass spectra are dominated by the $f_0(980),f_0(1370),$ $ϕ(1020),ϕ(1680),f_2(1270),f^{\prime}_2(1525),f_2(1750)$ and $f_2(1950)$ resonances. The $KK$ $S$-wave component $f_0(980)$ is modeled with the Flatté formalism, while other resonances are described by the relativistic Breit-Wigner (BW) line shape. The corresponding decay channels are studied by constructing the kaon-kaon distribution amplitude $Φ_{KK}$, which captures important final state interactions between the kaon pair in the resonant region. We found that the PQCD predictions for the branching ratios for most considered decays agree with currently available data within errors. The associated polarization fractions of those vector-vector and vector-tensor decay modes are also predicted, which are expected to be tested in the near future experiments. The invariant mass spectra for the corresponding resonances in the $B_{(s)} \to [D^{(*)}, \bar{D}^{(*)} ] K^+K^-$ decays are well established, which can be confronted with the precise data from the LHCb and Belle II experiments.

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