25 citations · 105 across the 10 of their papers we have counts for
10 papers
Positive Geometries for Scattering Amplitudes in Momentum Space
Robert Moerman
Positive geometries provide a purely geometric point of departure for studying scattering amplitudes in quantum field theory. A positive geometry is a specific semi-algebraic set e…
Pushforwards via Scattering Equations with Applications to Positive Geometries
Tomasz Lukowski, Robert Moerman, Jonah Stalknecht
In this paper we explore and expand the connection between two modern descriptions of scattering amplitudes, the CHY formalism and the framework of positive geometries, facilitated…
On the geometry of the orthogonal momentum amplituhedron
Tomasz Lukowski, Robert Moerman, Jonah Stalknecht
In this paper we study the orthogonal momentum amplituhedron , a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theo…
Grass trees and forests: Enumeration of Grassmannian trees and forests, with applications to the momentum amplituhedron
Robert Moerman, Lauren K. Williams
The Exponential Formula allows one to enumerate any class of combinatorial objects built by choosing a set of connected components and placing a structure on each connected compone…
The Grassmannian for Celestial Superamplitudes
Livia Ferro, Robert Moerman
Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-cal…
Kleiss-Kuijf Relations from Momentum Amplituhedron Geometry
David Damgaard, Livia Ferro, Tomasz Lukowski +1
In recent years, it has been understood that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries. In particular, amplitudes…