Proof of a three-loop relation between the Regge limits of four-point amplitudes in N=4 SYM and N=8 supergravity

被引：0

作者：

Naculich, Stephen G. ^{[1
]}

Wecker, Theodore W. ^{[1
]}

机构：

[1] Bowdoin Coll, Dept Phys & Astron, Brunswick, ME 04011 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2022年 / 07期

基金：

美国国家科学基金会;

关键词：

Extended Supersymmetry; Scattering Amplitudes; Supergravity Models; Supersymmetric Gauge Theory; QUANTUM-GRAVITY; TREE AMPLITUDES; YANG-MILLS; UNITARITY;

D O I：

10.1007/JHEP07(2022)043

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A previously proposed all-loop-orders relation between the Regge limits of four-point amplitudes of N = 4 supersymmetric Yang-Mills theory and N = 8 supergravity is established at the three-loop level. We show that the Regge limit of known expressions for the amplitudes obtained using generalized unitarity simplifies in both cases to a (modified) sum over three-loop ladder and crossed-ladder scalar diagrams. This in turn is consistent with the result obtained using the eikonal representation of the four-point gravity amplitude. A possible exact three-loop relation between four-point amplitudes is also considered.

引用

页数：29

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