The Art of Computing Loop Integrals
High Energy Physics - Phenomenology
2007-05-23 v1
Abstract
A perturbative approach to quantum field theory involves the computation of loop integrals, as soon as one goes beyond the leading term in the perturbative expansion. First I review standard techniques for the computation of loop integrals. In a second part I discuss more advanced algorithms. For these algorithms algebraic methods play an important role. A special section is devoted to multiple polylogarithms. I tried to make these notes self-contained and accessible both to physicists and mathematicians.
Cite
@article{arxiv.hep-ph/0604068,
title = {The Art of Computing Loop Integrals},
author = {Stefan Weinzierl},
journal= {arXiv preprint arXiv:hep-ph/0604068},
year = {2007}
}
Comments
49 pages, to appear in the proceedings of the workshop "Renormalization and Universality in Mathematical Physics", held at the Fields Institute, Toronto, October 2005