论文标题
四环速度异常的维度和事件形状达到第四对数顺序
The Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order
论文作者
论文摘要
我们在QCD中获得了夸克和gluon速度的异常尺寸至第四顺序。我们将n $^3 $ lo速度异常的尺寸计算为尺寸调节器中的更高顺序，并与最近确定n $^4 $ lo lo threshold Anomaloal dimensions一起使用软/速度异常的尺寸对应关系来实现我们的结果。我们表明，四个循环时夸克和gluon速度速度异常尺寸的结果与广义casimir缩放相关。使用n $^4 $ lo快速性异常维度，我们在n $^4 $ ll的背靠背限制中执行能量能量相关性的重新介绍，这是第一次以此差重顺序重新启动事件形状。我们提出了数值结果，并观察到重新定义的横截面上的扰动不确定性降低至1％以下。
We obtain the quark and gluon rapidity anomalous dimension to fourth order in QCD. We calculate the N$^3$LO rapidity anomalous dimensions to higher order in the dimensional regulator and make use of the soft/rapidity anomalous dimension correspondence in conjunction with the recent determination of the N$^4$LO threshold anomalous dimensions to achieve our result. We show that the results for the quark and gluon rapidity anomalous dimensions at four loops are related by generalized Casimir scaling. Using the N$^4$LO rapidity anomalous dimension, we perform the resummation of the Energy-Energy Correlation in the back-to-back limit at N$^4$LL, achieving for the first time the resummation of an event shape at this logarithmic order. We present numerical results and observe a reduction of perturbative uncertainties on the resummed cross section to below 1%.
