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 …

The soft limits of scattering amplitudes have been extensively studied due to their essential
role in the computation of physical observables in collider physics. The universal …

This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …

A bstract Positivity bounds are powerful tools to constrain effective field theories. Utilizing the
partial wave expansion in the dispersion relation and the full crossing symmetry of the …

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 …

A bstract We show that color-kinematics duality is a manifest property of the equations of
motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this …

A bstract Relativistic quantum systems that admit scattering experiments are quantitatively
described by effective field theories, where S-matrix kinematics and symmetry …

These lectures are a brief introduction to scattering amplitudes. We begin with a review of
basic kinematical concepts like the spinor helicity formalism, followed by a tutorial on …

A bstract We explore the logarithmic terms in the soft theorem in four dimensions by
analyzing classical scattering with generic incoming and outgoing states and one loop …

A bstract We derive new amplitudes relations revealing a hidden unity among a wideranging
variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz …