488 citations · 1.3k across the 17 of their papers we have counts for
20 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…
All-order amplitudes at any multiplicity in the multi-Regge limit
V. Del Duca, S. Druc, J. M. Drummond +5
We propose an all-loop expression for scattering amplitudes in planar N=4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configuration…
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…
Cluster adjacency and the four-loop NMHV heptagon
James Drummond, Jack Foster, Ömer Gürdoğan +1
We exploit the recently described property of cluster adjacency for scattering amplitudes in planar super Yang-Mills theory to construct the symbol of the four-loop…
Amplitudes in the Multi-Regge Limit of N=4 SYM
Vittorio Del Duca, Stefan Druc, James Drummond +5
A novel way of computing high-order amplitudes in the multi-Regge limit of planar maximally supersymmetric Yang-Mills theory is presented. In this framework, we are able to obtain…