Graphical Scattering Equations
Abstract
This page contains auxiliary material for the paper Graphical Scattering Equations by Barbara Betti, Viktoriia Borovik, Bella Finkel, Bernd Sturmfels, and Bailee Zacovic. The CHY scattering equations on the moduli space $\mathcal{M}_{0,n}$ play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering correspondence when the Mandelstam invariants are restricted to a fixed graph on $n$ vertices.
Full text
ML degrees of copious graphs for n=4 Non-edges ML deg Number of edges {} 1 6 ML degrees of copious graphs for n=5 Non-edges ML deg Number of edges {12, 34} 1 8 {12} 1 9 {} 2 10 ML and discriminant degrees of copious graphs for n=6 Non-edges ML deg Number of edges Log disc deg {12, 34, 45, 56} 1 11 {12, 23, 34} 1 12 {12, 23, 34, 45} 1 11 {12, 23, 34, 45, 56} 1 10 {12, 15, 23, 34, 45} 1 10 {12, 13, 23} 1 12 {12, 13, 23, 45} 1 11 {12, 13, 23, 45, 46, 56} 1 9 {15, 25, 36, 46} 2 11 4 {12, 34, 56} 2 12 6 {12, 34, 45} 2 12 4 {12, 23} 2 13 4 {12, 34} 3 13 10 {12} 4 14 16 {} 6 15 30 1