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arXiv 2210.08522hep-phhep-ex
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用PQCD方法分析CKM-FRENT准二体$B \to D (R\to) K π$衰变

Analysis of CKM-Favored Quasi-Two-Body $B \to D (R\to) K π$ Decays in PQCD Approach

Zhi-Tian Zou, Wen-Sheng Fang, Xin Liu, Ying Li

摘要:

LHCb合作研究了$B_s\to \overline{D}^0K^-π^+$衰变的共振结构,使用Dalitz图分析技术,基于与$pp$碰撞的$3.0{\rm fb}^{-1}$的积分光度相对应的数据样本。在振幅模型中分析了$K^-π^+$分量,其中衰减振幅被建模为相对于中间共振$K^*(892)$、$K_0^*(1430)$和$K_2^*(1430)$的共振贡献。受实验结果的启发,我们在微扰QCD(PQCD)框架下研究了色优准二体$B \to \overline{D}^0Kπ$衰变。我们通过引入适当的$Kπ$对波函数计算了分支分数。我们的结果是一致的,以及现有的数据,和其他可以在LHCb和Belle-II实验进行检验。在窄宽度近似下,我们还提取了相应的二体$B\to \overline D R$衰变的分支分数,在误差范围内与以前的理论计算和实验数据相符合.在标准模型中,这些衰变中没有$CP$不对称,因为这些衰变都只由树算子控制。

英文摘要:

LHCb Collaboration studied the resonant structure of $B_s\to \overline{D}^0K^-π^+$ decays using the Dalitz plot analysis technique, based on a data sample corresponding to an integrated luminosity of $3.0{\rm fb}^{-1}$ of $pp$ collision. The $K^-π^+$ components have been analyzed in the amplitude model, where the decay amplitude is modeled to be the resonant contributions with respect to the intermediate resonances $K^*(892)$, $K_0^*(1430)$ and $K_2^*(1430)$. Motivated by the experimental results, we investigate the color-favored quasi-two-body $B \to \overline{D}^0Kπ$ decays in the framework of the perturbative QCD (PQCD) approach. We calculate the the branching fractions by introducing the appropriate wave functions of $Kπ$ pair. Our results are in agreement well the available data, and others can be tested in LHCb and Belle-II experiments. Using the narrow-width-approximation, we also extract the branching fractions of the corresponding two-body $B\to \overline D R$ decays, which agree to the previous theoretical calculations and the experimental data within the errors. There are no $CP$ asymmetries in these decays in the standard model, because these decays are all governed by only the tree operators.

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