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

Autor:	Naculich, Stephen G., Wecker, Theodore W.
Rok vydání:	2022
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages, 7 figures; v2: typo in eq. (5.5) corrected, published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.02417 Zobrazit plný text záznamu View this record from Arxiv