The purpose of this review is to bridge the gap between a standard course in quantum field
theory and recent fascinating developments in the studies of on-shell scattering amplitudes …

Scattering amplitudes are both a wonderful playground to discover novel ideas in quantum
field theory and simultaneously of immense phenomenological importance to make …

Providing a comprehensive, pedagogical introduction to scattering amplitudes in gauge
theory and gravity, this book is ideal for graduate students and researchers. It offers a …

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 Perturbative scattering amplitudes in gauge theories have remarkable simplicity
and hidden infinite dimensional symmetries that are completely obscured in the …

In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be
rearranged to display a duality between color and kinematics. Once this is imposed, gravity …

A bstract We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV
(NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven …

A bstract Recent years have seen a surprising connection between the physics of scattering
amplitudes and a class of mathematical objects—the positive Grassmannian, positive loop …

We give an explicit recursive formula for the all ℓ-loop integrand for scattering amplitudes
in\(\mathcal {N}= 4\) SYM in the planar limit, manifesting the full Yangian symmetry of the …

We explore consequences of the recently discovered duality between color and kinematics,
which states that kinematic numerators in a diagrammatic expansion of gauge-theory …