The two-loop eight-point amplitude in ABJM theory

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 $\mathcal{N}=4$ 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.

57 pages, version accepted in JHEP

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• Integrated negative geometries in ABJM
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle