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

Understand

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.