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arXiv · 1207.6908

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

Andreas Brandhuber·Gabriele Travaglini·Congkao Wen
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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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Andreas Brandhuber, Gabriele Travaglini, Congkao Wen. 2012-07-30. All one-loop amplitudes in N=6 superconformal Chern-Simons theory. https://doi.org/10.1007/jhep10(2012)145

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