N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops

TL;DR

This paper calculates two-loop four-point amplitudes in 3d N=8 SYM and compares them to ABJM theory, revealing they match in the Regge limit after rescaling, suggesting a deep connection at strong coupling.

Contribution

It provides the first explicit two-loop four-point amplitude calculation in 3d N=8 SYM and compares it to ABJM, highlighting their infrared relation.

Findings

Amplitudes coincide in the Regge limit after rescaling

First two-loop four-point amplitude in 3d N=8 SYM

Supports IR flow connection between N=8 SYM and ABJM

Abstract

We compute the four-point amplitude in 3d N=8 SYM at two loops, by solving the three dimensional scalar doublebox in dimensional regularization. We compare it to the same result in the ABJM theory, to which maximal SYM should flow in the infrared at strong coupling. After proper rescalings, we find that the two amplitudes coincide in the Regge limit.