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 the 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 the 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 a nice analytic structure.
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He, S., Huang, Yt., Kuo, CK. et al. The two-loop eight-point amplitude in ABJM theory. J. High Energ. Phys. 2023, 65 (2023). https://doi.org/10.1007/JHEP02(2023)065
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DOI: https://doi.org/10.1007/JHEP02(2023)065