arXiv 1809.047542018-09hep-phhep-ex

微扰QCD方法中$P$波对$B\toψππ$衰变的贡献

$P$-wave contributions to $B\toψππ$ decays in perturbative QCD approach

Zhou Rui, Ya Li, Hsiang-nan Li

备注：: 12 pages,3 figures
发表信息：: Phys. Rev. D 98, 113003 (2018)
DOI：: 10.1103/PhysRevD.98.113003

摘要：

用微扰QCD方法计算了$P$ -波π介子对不变质量下$B\rightarrow ψππ$衰变和粲夸克偶$ψ=J/ψ,ψ(2S)$衰变的微分分支分数.构造了对应于纵向和横向极化的双π分布振幅（DA），以捕获过程中重要的末态相互作用。类时的形状因子，规范化的两π DA，包含的贡献，从$ρ$共振和径向激发拟合BaBar数据。在我们以前的研究中确定了与纵向极化相关的2 π DA的强子参数，并调整了与横向极化相关的参数，我们很好地适应了观测到的$B\rightarrow J/ψππ$衰变的分支比和极化分数。我们的预测$B\rightarrow ψ(2S) ππ$模式从同一组参数可以在未来的LHCb和BelleII实验进行测试。我们还研究了计算中理论不确定性的来源。

英文摘要：

We present the differential branching fractions for the $B\rightarrow ψππ$ decays with the charmonia $ψ=J/ψ,ψ(2S)$ in the invariant mass of the $P$-wave pion pairs in the perturbative QCD approach. The two-pion distribution amplitudes (DAs) corresponding to both longitudinal and transverse polarizations are constructed to capture important final state interactions in the processes. The time-like form factors, normalizing the two-pion DAs, contains contributions from the $ρ$ resonance and radial excitations fitted to the BaBar data. Given the hadronic parameters for the two-pion DAs associated with the longitudinal polarization which were determined in our previous study, and tuning those associated with the transverse polarization, we accommodate well the observed branching ratios and polarization fractions of the $B\rightarrow J/ψππ$ decays. Our predictions for the $B\rightarrow ψ(2S) ππ$ modes from the same set of parameters can be tested in future LHCb and BelleII experiments. We also investigate the sources of theoretical uncertainties in our calculation.

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英文摘要：

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