论文标题

$ 2 \至2 $散射振幅的高能限额在NNLL

High-energy limit of $2\to 2$ scattering amplitudes at NNLL

论文作者

Milloy, Calum, Falcioni, Giulio, Gardi, Einan, Maher, Niamh, Vernazza, Leonardo

论文摘要

$ 2 \ 2 $散射幅度的高能限制为探索量规理论的通用特征提供了绝佳的环境。在领先的对数(LL)精度下,蛋白振幅受复杂角动量平面中的regge杆的控制。除了LL之外,这架飞机的康格削减开始起着重要的作用。具体而言,在近代到领先的对数(NNLL)精度下,振幅的实际部分首次呈现了一个regge Pole和Regge Cut。分析对数塔并通过四个循环明确计算它,我们能够在雷格极和切割的雷格杆之间系统分离。前者涉及两个基本参数,即Gluon regge轨迹和影响因素。我们解释了如何在两个循环中始终定义影响因素,以及在三个循环中的regge轨迹。我们确认轨迹的奇异性是由尖峰异常的维度给出的。我们还表明,四个循环的regge切割贡献是非平面的。

The high-energy limit of $2\to 2$ scattering amplitudes offers an excellent setting to explore the universal features of gauge theories. At Leading Logarithmic (LL) accuracy the partonic amplitude is governed by Regge poles in the complex angular momentum plane. Beyond LL, Regge cuts in this plane begin to play an important role. Specifically, the real part of the amplitude at Next-to-Next-to-Leading Logarithmic (NNLL) accuracy presents for the first time both a Regge pole and a Regge cut. Analysing this tower of logarithms and computing it explicitly through four loops we are able to systematically separate between the Regge pole and the Regge cut. The former involves two fundamental parameters, namely the gluon Regge trajectory and impact factors. We explain how to consistently define the impact factors at two loops and the Regge trajectory at three loops. We confirm that the singularities of the trajectory are given by the cusp anomalous dimension. We also show that the Regge-cut contribution at four loop is nonplanar.

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