树级胶子-胶子散射的闭式表达式：一种获取喷注-介质蒙特卡罗模拟理论系统不确定性的框架
Closed-form expressions for tree-level gluon-gluon scattering: a framework for obtaining theoretical systematic uncertainties for jet-medium Monte Carlo simulations
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中文总结 AI 辅助
针对喷注-介质相互作用的贝叶斯分析缺乏理论系统不确定性考量的问题，本文通过重研树级胶子-胶子散射建立量化框架，发现热QCD中树级散射与常用近似有偏差，可用于估计贝叶斯分析的理论系统不确定性。
中文摘要 AI 辅助
针对喷注-介质相互作用的现代贝叶斯理论-数据比较（例如[Phys. Rev. C 111,054913 (2025)]），其不确定性预算中缺乏对理论系统不确定性的细致考量。本文重新研究树级胶子-胶子散射，以建立一个能够量化用于贝叶斯喷注-介质约束的理论系统不确定性的框架。研究详细考察了热QCD中树级散射的行为，发现其与常用近似存在偏差。散射率的偏差会影响部分子层次的喷注-介质输运系数，导致$\u005chat q$和$\u005cchat e$的运动学依赖比众所周知的对数行为更为复杂。这些与已知行为的偏差被用于估计贝叶斯分析中的理论系统不确定性。
英文摘要
Modern Bayesian theory-to-data comparisons for jet-medium interactions, such as [Phys. Rev. C 111,054913 (2025)], are lacking the careful accounting of theoretical systematic uncertainties included within their uncertainty budget. Tree-level gluon-gluon scattering is revisited to establish a framework capable of quantifying theoretical systematic uncertainties to be used in Bayesian jet-medium constraints. The behavior of tree-level scattering in thermal QCD is examined in detail, finding deviations away from the commonly used approximations. Deviations in the scattering rate affect jet-medium transport coefficients at the partonic level, leading to a more intricate kinematic dependence for $\hat q$ and $\hat e$ than, say, the well-known logarithmic behavior. These deviations away from well-known behavior are used to estimate theoretical systematic uncertainties in Bayesian analysis.
