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 review the Hopf algebra of the multiple polylogarithms and the symbol map, as well as
the construction of single valued multiple polylogarithms and discuss an algorithm for finding …

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

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 We present the computation of a full set of planar five-point two-loop master
integrals with one external mass. These integrals are an important ingredient for two-loop …

A bstract We propose a variant of elliptic multiple polylogarithms that have at most
logarithmic singularities in all variables and satisfy a differential equation without …

A bstract We present a generalization of the symbol calculus from ordinary multiple
polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a …

A bstract We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann
relations, which require certain double discontinuities of any amplitude to vanish. These …

A bstract We describe the minimal space of polylogarithmic functions that is required to
express the six-particle amplitude in planar\(\mathcal {N}\)= 4 super-Yang-Mills theory …