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 …

We present an identity satisfied by the kinematic factors of diagrams describing the tree
amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi …

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 …

The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading
order by the universal Weinberg pole formula. Gauge invariance of the formula follows from …

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

Conventional wisdom says that the simpler the Lagrangian of a theory the simpler its
perturbation theory. An ever-increasing understanding of the structure of scattering …

We propose a dual formulation for the S Matrix of\(\mathcal N\)= 4 SYM. The dual provides a
basis for the “leading singularities” of scattering amplitudes to all orders in perturbation …

We present a general procedure for obtaining the coefficients of the scalar bubble and
triangle integral functions of one-loop amplitudes. Coefficients are extracted by considering …

We derive the first ever on-shell recursion relations applicable to effective field theories.
Based solely on factorization and the soft behavior of amplitudes, these recursion relations …

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge
theories and gravity, but only hold if some amplitudes vanish when two of the momenta are …