能量-能量关联函数在介质中的演化
In medium evolution of the energy-energy correlators
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中文总结 AI 辅助
本文首次从第一性原理分析QCD介质中夸克与胶子喷注EEC的尺度演化，利用软共线有效理论推导因子化描述，计算介质修正喷注函数并重求和，发现可观测的介质效应，并通过p-Pb碰撞数据验证，为小系统及EIC提供理论支持。
中文摘要 AI 辅助
在这项工作中，我们对穿过QCD介质的夸克和胶子喷注的两点能量-能量关联函数（EEC）的尺度演化进行了第一性原理分析。EEC是一种喷注子结构观测量，它编码了喷注内部能量流的角分布，并已被证明在基本碰撞中对QCD的精确检验具有重要价值。将该框架扩展到涉及原子核的反应中，我们利用包含Glauber胶子相互作用的软共线有效理论推导了介质内EEC的因子化描述，从而能够系统地纳入介质诱导的相互作用。在透明度展开的框架下，我们计算了介质修正的夸克和胶子喷注函数在一圈阶的结果，并对大尺度对数进行了前导对数重求和。我们发现了一个实验上可及的动力学区域，在该区域中，介质效应直接通过反常维度的介质诱导修正体现出来，从而提供了对介质内动力学的一个透明探针。我们通过将我们的解析预测与p-Pb碰撞中的EEC测量结果进行比较来检验该理论框架，并讨论了其对小碰撞系统（O-O）和EIC的意义。
英文摘要
In this work, we present a first-principles analysis of the scale evolution of the two-point energy-energy correlator (EEC) for quark and gluon jets propagating through QCD matter. The EEC is a jet substructure observable that encodes the angular distribution of energy flow within jets and has proven valuable for precision tests of QCD in elementary collisions. Extending this framework to reactions with nuclei, we derive a factorized description of the in-medium EEC using Soft Collinear Effective Theory with Glauber gluon interactions, allowing systematic inclusion of medium-induced interactions. Working in the opacity expansion, we compute the medium-modified quark and gluon jet functions at one loop and perform leading-logarithmic resummation of large-scale logarithms. We find an experimentally accessible kinematic regime where medium effects manifest directly through medium-induced corrections to the anomalous dimensions, providing a transparent probe of in-medium dynamics. We test the theoretical framework by comparing our analytic predictions with EEC measurements in p-Pb collisions and discuss its implications for small collision systems (O-O) and the EIC.
