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 …

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 …

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 …

At the fundamental level, the interactions of elementary particles are described by quantum
gauge field theory. The quantitative implications of these interactions are captured by …

The self-force expansion allows the study of deviations from geodesic motion due to the
emission of radiation and its consequent back-reaction. We investigate this scheme within …

This article provides an introduction to on-shell recursion relations for calculations of tree-
level amplitudes. Starting with the basics, such as spinor notations and color …

We study n-point tree amplitudes of Script N= 4 super Yang-Mills theory and Script N= 8
supergravity for general configurations of external particles of the two theories. We construct …

We construct a twistor space action for Script N= 4 super Yang-Mills theory and show that it
is equivalent to its four dimensional spacetime counterpart at the level of perturbation theory …

A bstract Perturbiner expansion provides a generating function for all Berends-Giele
currents in a given quantum field theory. We apply this method to various effective field …