The precision frontier in collider physics is being pushed at impressive speed, from both the
experimental and the theoretical side. The aim of this review is to give an overview of recent …

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 …

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 …

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 …

Dimensionally-regulated Feynman integrals are a cornerstone of all perturbative
computations in quantum field theory. They are known to exhibit a rich mathematical …

A bstract We consider higher-order QCD corrections to Higgs boson production through
gluon-gluon fusion in the large top quark mass limit in hadron collisions. We extend the …

A bstract We present the analytic computation of all the planar master integrals which
contribute to the two-loop scattering amplitudes for Higgs→ 3 partons, with full heavy-quark …

Generalised polylogarithms naturally appear in higher-order calculations of quantum field
theories. We present handyG, a Fortran 90 library for the evaluation of such functions, by …