论文标题

decagon在两个循环

Decagon at Two Loops

论文作者

Fleury, Thiago, Goncalves, Vasco

论文摘要

我们已经使用六边形化方法在两个循环中计算了$ \ mathcal {n} = 4 $ sym中最简单的五点函数。一路上,我们确定了两个循环的所有两粒子镜贡献,我们计算了最终结果中涉及的所有积分。作为我们结果的测试,我们计算了几个四点功能,并且与之前计算的扰动结果一致。我们还获得了$ l $ nutary的两部分贡献的某些部分,我们还获得了$ l $循环的结果。我们还得出了一类积分的微分方程,这些方程应在五点函数中出现在较高的循环中。

We have computed the simplest five point function in $\mathcal{N} = 4$ SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we have computed all the integrals involved in the final result. As a test of our results we computed a few four-point functions and they agree with the perturbative results computed previously. We have also obtained $l$ loop results for some parts of the two-particle contributions with $l$ arbitrary. We also derive differential equations for a class of integrals that should appear at higher loops in the five point function.

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