Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
复制标题
通过四个循环在 Regge 极限和软异常维度中散射振幅
DOI：
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发表时间：
2021
影响因子：
5.4
通讯作者：
L. Vernazza
中科院分区：
文献类型：
--
作者：
G. Falcioni;E. Gardi;N. Maher;Calum Milloy;L. Vernazza
利用快速演化方程研究了雷格极限下的二对二量规理论散射振幅。我们通过四个循环以次至次领先的对数精度进行显式计算，并为红外奇异和有限的振幅贡献提供了新的结果。为了从通道算子的换向子中推导出源于三雷根交换图的颜色结构，设计了新的技术，获得了对任何规范群有效的结果，并适用于任何颜色表示的散射粒子。我们还阐明了在所有环阶的振幅实部的Regge切割和Regge极点的贡献之间的分离。我们表明，由于多reggeon交换图的平面贡献可以与单reggeon交换一起分解为Regge极，并且当这样做时，胶子Regge轨迹的奇异部分直接由尖异常维数决定。我们通过四个环显式地计算了振幅的Regge切割分量，并表明它是非平面的。从另一个角度来看，新结果提供了平面极限以外一般运动学软奇异性的重要信息：通过将计算修正与四环软异常维的一般形式进行比较，我们得出了对其运动学依赖性的强大约束，为基于自引导的确定开辟了道路。
Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. New techniques are devised in order to derive the colour structure stemming from three-Reggeon exchange diagrams in terms of commutators of channel operators, obtaining results that are valid for any gauge group, and apply to scattered particles in any colour representation. We also elucidate the separation between contributions to the Regge cut and Regge pole in the real part of the amplitude to all loop orders. We show that planar contributions due to multiple-Reggeon exchange diagrams can be factorised as a Regge pole along with the single-Reggeon exchange, and when this is done, the singular part of the gluon Regge trajectory is directly determined by the cusp anomalous dimension. We explicitly compute the Regge cut component of the amplitude through four loops and show that it is non-planar. From a different perspective, the new results provide important information on soft singularities in general kinematics beyond the planar limit: by comparing the computed corrections to the general form of the four-loop soft anomalous dimension we derive powerful constraints on its kinematic dependence, opening the way for a bootstrap-based determination.
DOI：
10.1016/j.nuclphysb.2004.03.030
发表时间：
2004-03
期刊：
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影响因子：
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作者：
S. Moch;J. Vermaseren;A. Vogt
通讯作者：
S. Moch;J. Vermaseren;A. Vogt
N=4 Sudakov 形状因子的四环尖点异常尺寸
影响因子：
4.4
作者：
Huber, Tobias;von Manteuffel, Andreas;Panzer, Erik;Schabinger, Robert M.;Yang, Gang
通讯作者：
Yang, Gang