49 citations · 257 across the 16 of their papers we have counts for
5 papers · 1 filter
An Elliptic Yangian-Invariant, `Leading Singularity'
Jacob L. Bourjaily, Nikhil Kalyanapuram, Cameron Langer +2
We derive closed formulae for the first examples of non-algebraic, elliptic `leading singularities' in planar, maximally supersymmetric Yang-Mills theory and show that they are Yan…
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…
Sign Flip Triangulations of the Amplituhedron
Ryota Kojima, Cameron Langer
We present new triangulations of the amplituhedron relevant for scattering amplitudes in planar super-Yang-Mills, obtained directly from the combinatorial def…