Twistor and Polytope Interpretations for Subleading Color One-Loop Amplitudes

Abstract

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

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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Cited by in corpus (5)

• Scattering Amplitudes
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes
• One-loop SYM-supergravity relation for five-point amplitudes
• Applications of Subleading-color Amplitudes in N=4 SYM Theory