电子-离子对撞机中光子分布函数的无模型数据驱动提取
Model-Independent and Data-Driven Extraction of the Photon Distribution Function at the Electron--Ion Collider
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中文总结 AI 辅助
研究在电子-离子对撞机中基于截面比反演方法提取分布函数，从因子化公式出发简化卷积结构，定义比率\(R\)并建立其与目标分布函数\(f\)的关系，还探讨了考虑多种效应时理论输入\(d\sigma_{\mathrm{hard}}\)的构建方法。
中文摘要 AI 辅助
在这项工作中，我们研究了一种基于截面比的反演方法，用于在电子-离子对撞机（EIC）中提取分布函数。从一般的因子化公式\(d\sigma = H \otimes f\)出发，我们表明，对于适当的轫致辐射过程和适当选择的微分可观测量，卷积结构可简化为乘法形式。在此基础上，我们定义比率\(R = \frac{d\sigma_{\mathrm{exp}}}{d\sigma_{\mathrm{hard}}}\)，其中\(d\sigma_{\mathrm{exp}}\)是实验测量的微分截面，\(d\sigma_{\mathrm{hard}}\)是微扰可计算的理论输入。然后我们建立\(R\)与目标分布函数\(f\)之间的关系。最后，我们研究了在考虑软光子辐射、有限分箱宽度效应和实验接受度时，理论输入\(d\sigma_{\mathrm{hard}}\)应如何构建。
英文摘要
In this work, we investigate a cross-section-ratio-based inversion method for extracting distribution functions at the Electron--Ion Collider (EIC). Starting from the general factorization formula $dσ= H \otimes f$, we show that, for an appropriate bremsstrahlung process and suitably chosen differential observables, the convolution structure can be reduced to a multiplicative form. On this basis, we define the ratio $R = \frac{dσ_{\mathrm{exp}}}{dσ_{\mathrm{hard}}},$ where $dσ_{\mathrm{exp}}$ is the experimentally measured differential cross section and $dσ_{\mathrm{hard}}$ is a perturbatively calculable theoretical input. We then establish the relation between $R$ and the target distribution function $f$. Finally, we investigate how the theoretical input $dσ_{\mathrm{hard}}$ should be constructed when soft-photon radiation, finite-bin-width effects, and experimental acceptance are taken into account.
