用不确定性感知的机器学习,识别强子态的极点结构。
Learning Pole Structures of Hadronic States using Predictive Uncertainty Estimation
- 构建集成分类器链,同时估计认知与随机不确定性。
- 验证准确率达95%,仅剔除少量高不确定性预测。
- 可推广至新强子态分析,适合粒子物理实验数据解析。
将理论预测与实验数据匹配仍是强子谱学的核心挑战。尤其在阈值附近,新强子态的识别困难,因奇异信号可能由多种物理机制产生。关键诊断工具是散射振幅的极点结构,但不同配置可能呈现相似谱线形状。在质量阈值附近,由于解析控制有限,极点配置与谱线形状的映射尤为模糊。本文提出一种不确定性感知的机器学习方法,用于分类S-矩阵元中的极点结构。方法基于一组分类器链,提供认知与随机不确定性估计。采用基于预测不确定性的拒收准则,在仅舍弃少量高不确定性预测的情况下,实现近95%的验证准确率。模型在已知极点结构的合成数据上训练,成功泛化至此前未见的实验数据,包括LHCb观测到的P_{c\bar{c}}(4312)^+态。我们推断其具有四极点结构,表明存在一个真实紧凑的五夸克态,同时伴有非零宽度的高能道虚态极点。尽管针对此特定态评估,该框架可广泛应用于其他候选强子态,为散射振幅极点结构推断提供可扩展工具。
原文摘要 · Abstract (English)
Matching theoretical predictions to experimental data remains a central challenge in hadron spectroscopy. In particular, the identification of new hadronic states is difficult, as exotic signals near threshold can arise from a variety of physical mechanisms. A key diagnostic in this context is the pole structure of the scattering amplitude, but different configurations can produce similar signatures. The mapping between pole configurations and line shapes is especially ambiguous near the mass threshold, where analytic control is limited. In this work, we introduce an uncertainty-aware machine learning approach for classifying pole structures in $S$-matrix elements. Our method is based on an ensemble of classifier chains that provide both epistemic and aleatoric uncertainty estimates. We apply a rejection criterion based on predictive uncertainty, achieving a validation accuracy of nearly $95\%$ while discarding only a small fraction of high-uncertainty predictions. Trained on synthetic data with known pole structures, the model generalizes to previously unseen experimental data, including enhancements associated with the $P_{c\bar{c}}(4312)^+$ state observed by LHCb. In this, we infer a four-pole structure, representing the presence of a genuine compact pentaquark in the presence of a higher channel virtual state pole with non-vanishing width. While evaluated on this particular state, our framework is broadly applicable to other candidate hadronic states and offers a scalable tool for pole structure inference in scattering amplitudes.
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