对撞机测量中分布函数的局域结构解析
Resolving Local Structure of Distribution Functions in Collider Measurements
- School of Information Engineering, Zhejiang Ocean University（浙江海洋大学信息工程学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究针对对撞机测量中分布函数窄特征易模糊的问题，提出利用基线归一化的$F_{\rm dir}(X)$等观测量解析分布局域结构的方法，为保留精细结构提供了指导。
AI中文摘要：
对撞机测量中，由于数据点采样有限区域，在拟合前可能会模糊 underlying 分布中的窄特征。我们证明，若将外部约束输入吸收为非负有限响应后，与选定目标分布线性相关的观测量，其分布空间的局域性可由硬动力学和运动学确定。基线归一化的$F_{\rm dir}(X)$在零宽度时给出局域值，其他情况下给出受控平均值，协方差决定主导偏差。这为保留意外精细结构的过程和观测量选择提供指导，EIC光子辐射观测量可实现精确零宽度极限。
英文摘要：
Collider measurements may blur narrow features in underlying distributions before fitting, since a data point samples a finite region. We show that observables linear in a selected target distribution, after externally constrained inputs are absorbed into a nonnegative finite response, have a calculable distribution-space locality set by hard dynamics and kinematics. The baseline-normalized $F_{\rm dir}(X)$ yields the local value at zero width and a controlled average otherwise, with covariance setting the leading bias. This guides the choice of processes and observables that retain unexpected fine structure. An EIC photon-radiation observable realizes the exact zero-width limit.
