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 …

We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational
functions, which also include multiple polylogarithms when their arguments are rational …

A bstract The projected energy correlator measures the energy deposited in multiple
detectors as a function of the largest angular distance x L=(1− cos χ L)/2 between detectors …

The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's
polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination …

An overview is presented on the current status of main mathematical computation methods
for the multiloop corrections to single-scale observables in quantum field theory and the …

The non-first-order-factorizable contributions 1 to the unpolarized and polarized massive
operator matrix elements to three-loop order, AQ g (3) and Δ AQ g (3), are calculated in the …

The goal of this book is to describe the most powerful methods for evaluating multiloop
Feynman integrals that are currently used in practice. This book supersedes the author's …

A bstract We study black hole linear perturbation theory in a four-dimensional Schwarzschild
(anti) de Sitter background. When dealing with a positive cosmological constant, the …

[I] ntuition comes to us much earlier and with much less outside influence than formal
arguments which we cannot really understand unless we have reached a relatively high …

Multiple polylogarithms appear in analytic calculations of higher order corrections in
quantum field theory. In this article we study the numerical evaluation of multiple …