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arXiv · 1104.2752

Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes

Horatiu Nastase·Howard J. Schnitzer
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Abstract

We use the relation of the one-loop subleading-color amplitudes to the one-loop $n$-point leading color amplitudes in ${\cal N}=4$ SYM, to derive a polytope interpretation for the former in the $MHV$ case, and a representation in momentum twistor space for the general $N^kMHV$ case. These techniques are explored in detail for the 5-point and 6-point amplitudes. We briefly discuss the implications for IR divergences.

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Horatiu Nastase, Howard J. Schnitzer. 2011-11-07. Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes. https://doi.org/10.1016/j.nuclphysb.2011.10.029

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