This review describes the duality between color and kinematics and its applications, with the
aim of gaining a deeper understanding of the perturbative structure of gauge and gravity …

A bstract The search for a theory of the S-Matrix over the past five decades has revealed
surprising geometric structures underlying scattering amplitudes ranging from the string …

A bstract The scattering equations provide a powerful framework for the study of scattering
amplitudes in a variety of theories. Their derivation from ambitwistor string theory led to …

A bstract We take a major step towards computing D-dimensional one-loop amplitudes in
general gauge theories, compatible with the principles of unitarity and the color-kinematics …

This is the first in a series of papers presenting a new understanding of scattering
amplitudes based on fundamentally combinatorial ideas in the kinematic space of the …

A bstract The “amplituhedron” for tree-level scattering amplitudes in the bi-adjoint ϕ 3 theory
is given by the ABHY associahedron in kinematic space, which has been generalized to …

We explain a procedure to manifest the Bern–Carrasco–Johansson duality between color
and kinematics in n-point one-loop amplitudes of a variety of supersymmetric gauge …

A bstract 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 …

A bstract We prove that the scattering equation formalism for Yang-Mills amplitudes can be
used to make manifest the theory's color-kinematics duality. This is achieved through a …

A bstract Recently, a number of new Ward identities for large gauge transformations and
large diffeomorphisms have been discovered. Some of the identities are reinterpretations of …