发表机构
CERN, Theoretical Physics Department; Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh; Departamento de Física Teórica y del Cosmos, Universidad de Granada; Department of Physics and Astronomy, University of Manchester; Department of Physics, University of Cyprus; Dipartimento di Fisica G. Occhialini, Università degli Studi di Milano-Bicocca and INFN, Sezione di Milano-Bicocca; Department of Physics, Brookhaven National Laboratory（欧洲核子研究中心; 爱丁堡大学; 格拉纳达大学; 曼彻斯特大学; 塞浦路斯大学; 米兰比可卡大学; 布鲁克海文国家实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文首次计算了喷注 veto 截面的三圈快度反常维度，实现 LHC 上色单态产生的 N$^3$LL 重求和，并提出可推广的半数值计算方法。
AI 中文摘要
我们首次给出了喷注 veto 截面的快度反常维度的三阶修正计算结果。这是对强子对撞机上诸如色单态和重夸克对产生等关键过程中这些散射观测量进行重求和的关键要素。更具体地说，我们的结果使得在 LHC 上对色单态产生的喷注 veto 截面能够进行次次次领头对数（N$^3$LL）重求和，具有直接的唯象学意义。该反常维度是从软-共线有效场论中三圈软函数的计算中提取的，并作为广义-$k_t$ 族聚类算法的喷注半径 $R$ 的函数给出。为了处理与聚类算法相关的复杂性，我们提出了一种半数值计算方法。该策略本身也是本文的成果，并可推广到其他三圈反常维度和软函数的计算中。
英文摘要
We present the first calculation of the third-order corrections to the rapidity anomalous dimension for jet-veto cross sections. This is a crucial ingredient for the resummation of these scattering observables in key processes such as colour-singlet and heavy-quark-pair production at hadron colliders. More precisely, our results enable the next-to-next-to-next-to-leading logarithmic (N$^3$LL) resummation of the jet-veto cross section for colour singlet production at the LHC, with immediate phenomenological relevance. The anomalous dimension is extracted from a calculation of the three-loop soft function in soft-collinear effective field theory, and is presented as a function of the jet radius $R$ for the clustering algorithms of the generalised-$k_t$ family. To handle the complexity associated with the clustering algorithm, we formulate a semi-numerical computational approach. This strategy is itself a result of the paper, and can be extended to the calculation of other anomalous dimensions and soft functions at three loops.
