相对论性重离子碰撞横向动量关联中统计和系统偏差的最小化
Minimizing statistical and systematic bias in transverse momentum correlations for relativistic heavy-ion collisions
摘要：
两粒子关联测量和分析是相对论重离子物理计划的重要组成部分。特别是，二维横向动量（$p_t$）上的粒子对数相关性允许在这些碰撞中唯一访问软，半硬和硬散射过程。这种关联的精确测量对于理解重离子碰撞中的动力学是必不可少的。然而，横向动量相关测量特别容易受到统计和系统偏差的影响。本文解释了这些大偏差效应的来源，并从文献中的平均- $p_t$涨落量导出了数学相关形式。然后使用蒙特卡罗模拟来确定条件，例如多重性和碰撞中心性箱宽度，其中每个相关形式是最小偏差的。比较了各相关量的适用范围。有几个被发现重现假设的输入相关性与合理的保真度在广泛的条件下遇到的实际数据分析。
英文摘要：
Two-particle correlation measurements and analysis are an important component of the relativistic heavy-ion physics program. In particular, particle pair-number correlations on two-dimensional transverse momentum ($p_t$) allow unique access to soft, semi-hard and hard-scattering processes in these collisions. Precise measurements of this type of correlation are essential for understanding the dynamics in heavy-ion collisions. However, transverse momentum correlation measurements are especially vulnerable to statistical and systematic biases. In this paper the origins of these large bias effects are explained and mathematical correlation forms are derived from mean-$p_t$ fluctuation quantities in the literature. Monte Carlo simulations are then used to determine the conditions, e.g. multiplicity and collision centrality bin widths, where each correlation form is minimally biased. The ranges of applicability for each correlation quantity are compared. Several are found to reproduce the assumed input correlations with reasonable fidelity over a wide range of conditions encountered in practical analysis of data.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
