Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes

Horatiu Nastase; Howard J. Schnitzer

doi:10.1016/j.nuclphysb.2011.10.029

Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes

High Energy Physics - Theory 2015-05-27 v3

Authors: 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.

Keywords

scattering amplitudes

Cite

@article{arxiv.1104.2752,
  title  = {Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes},
  author = {Horatiu Nastase and Howard J. Schnitzer},
  journal= {arXiv preprint arXiv:1104.2752},
  year   = {2015}
}

Comments

30 pages, 2 figures; typos corrected, citations added; fig2 modified, fig. 1 and explanations added, mostly around eq. 2.11; version accepted in Nucl.Phys.B

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