104 citations · 631 across the 20 of their papers we have counts for
21 papers
Tropical fans, scattering equations and amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.…
Algebraic singularities of scattering amplitudes from tropical geometry
James Drummond, Jack Foster, Ömer Gürdoğan +1
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar super Yang-Mills theory. We argue that…
Tropical Grassmannians, cluster algebras and scattering amplitudes
James Drummond, Jack Foster, Ömer Gürdoğan +1
We provide a cluster-algebraic approach to the computation of the recently introduced generalised biadjoint scalar amplitudes related to Grassmannians . A finite clu…
Elimination and recursions in the scattering equations
Carlos Cardona, Chrysostomos Kalousios
We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a…
Comments on the evaluation of massless scattering
Carlos Cardona, Chrysostomos Kalousios
The goal of this work is threefold. First, we give an expression of the most general five point integral on M_{0,n} in terms of Chebyshev polynomials. Second, we choose a special k…
Scattering equations, generating functions and all massless five point tree amplitudes
Chrysostomos Kalousios
We argue that one does not need to know the explicit solutions of the scattering equations in order to evaluate a given amplitude. We consider the most general quantity consistent…