138 citations · 311 across the 7 of their papers we have counts for
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Causal Diamonds, Cluster Polytopes and Scattering Amplitudes
Nima Arkani-Hamed, Song He, Giulio Salvatori +1
The "amplituhedron" for tree-level scattering amplitudes in the bi-adjoint theory is given by the ABHY associahedron in kinematic space, which has been generalized to give a…
Scattering Amplitudes and Simple Canonical Forms for Simple Polytopes
Giulio Salvatori, Stefan Stanojevic
We provide an efficient recursive formula to compute the canonical forms of arbitrary -dimensional simple polytopes, which are convex polytopes such that every vertex lies preci…
1-loop Amplitudes from the Halohedron
Giulio Salvatori
We recently proposed the Halohedron to be the 1-loop Amplituhedron for planar theory. Here we prove this claim by showing how it is possible to extract the integrand for the…
Hyperbolic Geometry and Amplituhedra in 1+2 dimensions
Giulio Salvatori, Sergio Cacciatori
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkhani-Hamed et al. We argue that hyperbolic geometr…