论文标题

n = 4个超级阳米尔斯振幅的Steinmann群集bootstrap

The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes

论文作者

Caron-Huot, Simon, Dixon, Lance J., Drummond, James M., Dulat, Falko, Foster, Jack, Gürdoğan, Ömer, von Hippel, Matt, McLeod, Andrew J., Papathanasiou, Georgios

论文摘要

我们通过利用其分析结构来回顾用于平面$ \ Mathcal {n} = 4 $ Super Yang-Mills理论的六个和七粒子振幅的引导方法。我们专注于最近发现的两个属性,这些属性分别在符号和功能级别中大大简化了这种构建:扩展的Steinmann关系或等效的聚类邻接和共同原理。然后,我们演示了它们在NMHV和MHV扇区中分别通过六个和七个循环确定六粒子振幅的力量,以及NMHV七粒子振幅到四个循环的符号。

We review the bootstrap method for constructing six- and seven-particle amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory, by exploiting their analytic structure. We focus on two recently discovered properties which greatly simplify this construction at symbol and function level, respectively: the extended Steinmann relations, or equivalently cluster adjacency, and the coaction principle. We then demonstrate their power in determining the six-particle amplitude through six and seven loops in the NMHV and MHV sectors respectively, as well as the symbol of the NMHV seven-particle amplitude to four loops.

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