AI 中文总结
该研究概述BESIII合作组的粲介子衰变振幅分析方法，详述概率密度函数等构建技术、两类衰变的振幅形式及关键分析环节，为相关研究提供实用实现参考。
AI 中文摘要
振幅分析架起了多体粲介子衰变实验测量与中间两体过程理论预测之间的桥梁。本研究全面概述了BESIII合作组采用的振幅分析方法，重点关注实际实现细节。我们详细阐述了无分箱最大似然拟合的概率密度函数与似然函数的构建，包括用于归一化的蒙特卡罗积分技术、探测效率与分辨效应的纳入，以及利用XGBoost分类器的多维本底建模。此外，我们描述了强子衰变和半轻衰变的振幅形式，纳入了标准共振传播子参数化。还讨论了关键分析方面，包括拟合分数的评估、运动学投影的生成以及统计不确定度的估计。
英文摘要
Amplitude analysis bridges the gap between experimental measurements of multibody charmed-meson decays and theoretical predictions of intermediate two-body processes. This work presents a comprehensive overview of the amplitude-analysis methodology employed by the BESIII Collaboration, emphasizing practical implementation. We detail the construction of the probability density function and likelihood function for unbinned maximum-likelihood fits. This encompasses Monte Carlo integration techniques for normalization, the incorporation of detection efficiency and resolution effects, and multidimensional background modeling utilizing XGBoost classifiers. Furthermore, we describe the amplitude formalism for both hadronic and semileptonic decays, incorporating standard resonance-propagator parametrizations. Key analytical aspects, including the evaluation of fit fractions, the generation of kinematic projections, and the estimation of statistical uncertainties, are also discussed.
