All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops

Andrew J. McLeod; Cameron Langer; Enrico Herrmann; Jacob L. Bourjaily; Jaroslav Trnka

All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops

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arxiv 1911.09106 v3 pith:CWUJTFI5 submitted 2019-11-20 hep-th

All-Multiplicity Non-Planar MHV Amplitudes in sYM at Two Loops

Jacob L. Bourjaily , Enrico Herrmann , Cameron Langer , Andrew J. McLeod , Jaroslav Trnka This is my paper

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keywords all-multiplicitynon-planaramplitudeamplitudesclosed-formfully-color-dressedgiveintegrands

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We give a closed-form, prescriptive representation of all-multiplicity two-loop MHV amplitude integrands in fully-color-dressed (non-planar) maximally supersymmetric Yang-Mills theory.

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Planar loop integrands from cuts in $D$ dimensions
hep-th 2026-06 unverdicted novelty 6.0

A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.