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.
@article{arxiv.2204.02417,
title = {Proof of a three-loop relation between the Regge limits of four-point amplitudes in N=4 SYM and N=8 supergravity},
author = {Stephen G. Naculich and Theodore W. Wecker},
journal= {arXiv preprint arXiv:2204.02417},
year = {2022}
}
Comments
30 pages, 7 figures; v2: typo in eq. (5.5) corrected, published version