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

Outlining a revolutionary reformulation of the foundations of perturbative quantum field
theory, this book is a self-contained and authoritative analysis of the application of this new …

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 establish a direct connection between scattering amplitudes in planar four-dimensional
theories and a remarkable mathematical structure known as the positive Grassmannian. The …

A bstract In this paper we study motivic amplitudes—objects which contain all of the
essential mathematical content of scattering amplitudes in planar SYM theory in a …

The existence of a finite basis of algebraically independent one-loop integrals has
underpinned important developments in the computation of one-loop amplitudes in field …

Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of
quantum field theory. In this white paper for the Snowmass process we give a brief overview …