564 citations · 4.2k across the 62 of their papers we have counts for
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Towards the Gravituhedron: New Expressions for NMHV Gravity Amplitudes
Jaroslav Trnka
In this paper, we present new expressions for n-point NMHV tree-level gravity amplitudes. We introduce a method of factorization diagrams which is a simple graphical representation…
Positive geometry, local triangulations, and the dual of the Amplituhedron
Enrico Herrmann, Cameron Langer, Jaroslav Trnka +1
We initiate the systematic study of \emph{local positive spaces} which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersym…
Building Bases of Loop Integrands
Jacob L. Bourjaily, Enrico Herrmann, Cameron Langer +1
We describe a systematic approach to the construction of loop-integrand bases at arbitrary loop-order, sufficient for the representation of general quantum field theories. We provi…
Positive Geometries for One-Loop Chiral Octagons
Enrico Herrmann, Cameron Langer, Jaroslav Trnka +1
Inspired by the topological sign-flip definition of the Amplituhedron, we introduce similar, but distinct, positive geometries relevant for one-loop scattering amplitudes in planar…