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

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

We describe a family of finite, four-dimensional, L-loop Feynman integrals that involve
weight-(L+ 1) hyperlogarithms integrated over (L-1)-dimensional elliptically fibered varieties …

A bstract It has recently been demonstrated that Feynman integrals relevant to a wide range
of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily …

A bstract We elaborate on a non-perturbative formulation of scattering amplitudes/null
polygonal Wilson loops in planar\(\mathcal {N}\)= 4 Super-Yang-Mills theory. It allows one to …

The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic
Feynman integrals and scattering amplitudes. In this Letter, we initiate the symbol bootstrap …

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 …

A bstract We study tropical Grassmanians Tr (k, n) in relation to cluster algebras, and assess
their applicability to n-particle amplitudes for n= 7, 8. In\(\mathcal {N}\)= 4 super Yang-Mills …

A bstract The amplituhedron determines scattering amplitudes in planar\(\mathcal {N}\)= 4
super Yang-Mills by a single “positive geometry” in the space of kinematic and loop …

A bstract We further exploit the relation between tropical Grassmannians and Gr (4, n)
cluster algebras in order to make and refine predictions for the singularities of scattering …