The two-loop eight-point amplitude in ABJM theory

Abstract

Abstract In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 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.

Keywords

• 1/N Expansion
• Chern-Simons Theories
• Scattering Amplitudes
• Supersymmetric Gauge Theory