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.
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ArXiv ePrint: 1207.6908
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Brandhuber, A., Travaglini, G. & Wen, C. All one-loop amplitudes in \( \mathcal{N}=6 \) superconformal Chern-Simons theory. J. High Energ. Phys. 2012, 145 (2012). https://doi.org/10.1007/JHEP10(2012)145
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DOI: https://doi.org/10.1007/JHEP10(2012)145