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 …

We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

Advances in scattering amplitudes have exposed previously-hidden color-kinematics and
double-copy structures in theories ranging from gauge and gravity theories to effective field …

The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

A bstract In a recent note we presented a compact formula for the complete tree-level S-
matrix of pure Yang-Mills and gravity theories in arbitrary spacetime dimension. In this paper …

We present a compact formula for the complete tree-level S-matrix of pure Yang-Mills and
gravity theories in arbitrary spacetime dimensions. The new formula for the scattering of n …

Feynman diagrams constitute one of the essential ingredients for making precision
predictions for collider experiments. Yet, while the simplest Feynman diagrams can be …

Several recent developments point to the fact that rational maps from n-punctured spheres to
the null cone of D-dimensional momentum space provide a natural language for describing …

A bstract We present a constructive method to compute the AdS Virasoro-Shapiro amplitude,
order by order in AdS curvature corrections. At k th order the answer takes the form of a …

A bstract We show that color-kinematics duality is present in tree-level amplitudes of
quantum chromodynamics with massive flavored quarks. Starting with the color structure of …