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Scattering Equations: Real Solutions and Particles on a Line
Freddy Cachazo, Sebastian Mizera, Guojun Zhang
We find -dimensional regions of the space of kinematic invariants, where all the solutions to the scattering equations (the core of the CHY formulation of amplitudes) for…
Extensions of Theories from Soft Limits
Freddy Cachazo, Peter Cha, Sebastian Mizera
We study a variety of field theories with vanishing single soft limits. In all cases, the structure of the soft limit is controlled by a larger theory, which provides an extension…
Minimal Basis in Four Dimensions and Scalar Blocks
Freddy Cachazo, Guojun Zhang
We find a construction that expresses any tree-level -particle color-ordered partial amplitude in gauge theory as a linear combination of a basis of dimension…
One-Loop Corrections from Higher Dimensional Tree Amplitudes
Freddy Cachazo, Song He, Ellis Ye Yuan
We show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting with a complete tree-le…