The two-loop eight-point amplitude in ABJM theory

TL;DR

This paper computes the two-loop eight-point scattering amplitude in ABJM theory, revealing dual conformal invariance and infrared divergence structure similar to N=4 super Yang-Mills, with finite parts of uniform transcendentality.

Contribution

It provides the first explicit two-loop eight-point amplitude in ABJM theory, demonstrating the method's generalization and the amplitude's symmetry properties.

Findings

Infrared divergence matches N=4 super Yang-Mills

Finite part is dual conformal invariant

Amplitude has uniform transcendentality weight two

Abstract

In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional $\mathcal{N}=6$ Chern-Simons matter theory. We use eight-point case as our main example, but the method generalizes to all multiplicities. The integrand is completely fixed by dual conformal symmetry, maximal cuts, constraints from soft-collinear behavior and from vanishing of odd-multiplicity amplitudes. After performing integrations with Higgs regularizations, the integrated results demonstrate that the infrared divergence is again identical to that of ${\cal N}=4$ super Yang-Mills. After subtracting divergences, the finite part is dual conformal invariant, and respects various symmetries; it has uniform transcendentality weight two and exhibits nice analytic structure.