A tale of two exponentiations in N=8 supergravity
A tale of two exponentiations in N=8 supergravity
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DOI：
10.1016/j.physletb.2019.134927
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发表时间：
2019-08
影响因子：
4.4
通讯作者：
P. Vecchia;A. Luna;S. Naculich;R. Russo;G. Veneziano;C. White
中科院分区：
文献类型：
--
作者：
P. Vecchia;A. Luna;S. Naculich;R. Russo;G. Veneziano;C. White
超重力理论中散射振幅的结构仍然是人们感兴趣的。最近，在N= 8的超重力条件下，首次给出了2→2散射的三环振幅。结果可以写成幂次单环贡献的形式，模取一个没有红外奇点的剩余函数，但在高能Regge极限中包含先导项。我们解释了这些术语的起源，从一个众所周知的，统一的恢复指数的高能引力s矩阵在冲击参数空间。此外，我们预测在所有高循环阶的剩余函数中存在相似项。我们的结果为最近的三循环计算提供了一个重要的交叉检查，并为将来更高循环的任何计算提供了必要的一致性约束。
The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→ 2 scattering in N= 8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.