We review recent progress and future prospects for harnessing powerful tools from
theoretical high-energy physics, such as scattering amplitudes and effective field theory, to …

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 integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

A bstract We present for the first time fully analytic results for multi-loop equal-mass ice cone
graphs in two dimensions. By analysing the leading singularities of these integrals, we find …

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 In this manuscript, we elaborate on a procedure to derive ϵ-factorised differential
equations for multi-scale, multi-loop classes of Feynman integrals that evaluate to special …

A bstract We provide a comprehensive summary of concepts from Calabi-Yau motives
relevant to the computation of multi-loop Feynman integrals. From this we derive several …

The high-precision description of black hole scattering in classical general relativity using
the post-Minkowskian (PM) expansion requires the evaluation of single-scale Feynman …

Certain Feynman integrals are associated to Calabi-Yau geometries. We demonstrate how
these integrals can be computed with the method of differential equations. The four-loop …