A bstract We present the complete formula for the cusp anomalous dimension at four loops
in QCD and in maximally supersymmetric Yang-Mills. In the latter theory it is given …

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

Over the last year significant progress was made in the understanding of the computation of
Feynman integrals using differential equations (DE). These lectures give a review of these …

A bstract We compute all master integrals for massless three-loop four-particle scattering
amplitudes required for processes like di-jet or di-photon production at the LHC. We present …

A bstract In recent years, differential equations have become the method of choice to
compute multi-loop Feynman integrals. Whenever they can be cast into canonical form, their …

A bstract The method of canonical differential equations is an important tool in the
calculation of Feynman integrals in quantum field theories. It has been realized that the …

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 …

The future 100-km circular collider FCC at CERN is planned to operate in one of its modes
as an electron-positron FCC-ee machine. We give an overview comparing the theoretical …

A bstract Differential equations are a powerful tool for evaluating Feynman integrals. Their
solution is straightforward if a transformation to a canonical form is found. In this paper, we …