The two-loop six-point amplitude in ABJM theory

Abstract

In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consist of corrections proportional to two distinct local Yangian invariants which can be identified as the tree- and the one-loop amplitude respectively. The two-loop correction proportional to the tree-amplitude is identical to the one-loop BDS result of N=4 SYM plus an additional remainder function, while the correction proportional to the one-loop amplitude is finite. Both the remainder and the finite correction are dual conformal invariant, which implies that the two-loop dual conformal anomaly equation for ABJM is again identical to that of one-loop N=4 SYM, as was first observed at four-point. We discuss the theory on the Higgs branch, showing that its amplitudes are infrared finite, but equal, in the small mass limit, to those obtained in dimensional regularization.

45 pages

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• ABJM amplitudes and the positive orthogonal grassmannian
• Light-like Wilson loops in ABJM and maximal transcendentality
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Two-loop Sudakov Form Factor in ABJM
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• Non-planarity through unitarity in ABJM
• The Positive orthogonal Grassmannian and loop amplitudes of ABJM
• From U(1) to E8: soft theorems in supergravity amplitudes
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop
• Unitarity methods for scattering in two dimensions
• On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD
• A note on scattering amplitudes on the moduli space of ABJM