All one-loop amplitudes in N=6 superconformal Chern-Simons theory

Abstract

We exploit a recently found connection between special triple-cut diagrams and tree-level recursive diagrams to derive a general formula capturing the multi-particle factorisation of arbitrary one-loop amplitudes in the ABJM theory. This formula contains certain anomalous contributions which are reminiscent of the so-called non-factorising contributions appearing in the factorisation of one-loop amplitudes in four-dimensional gauge theory. In the second part of the paper we derive a recursion relation for the supercoefficients of one-loop amplitudes in ABJM theory. By applying this recursion relation, any one-loop supercoefficient can be reduced to special triple-cut diagrams involving at least one four-point tree amplitude. In turn, this implies that any one-loop supercoefficient can be derived from tree-level recursive diagrams.

22 pages, 7 figures

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• Light-like Wilson loops in ABJM and maximal transcendentality
• Two-loop Sudakov Form Factor in ABJM
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• Non-planarity through unitarity in ABJM
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• The two-loop eight-point amplitude in ABJM theory
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• ABJM flux-tube and scattering amplitudes