The Art of Computing Loop Integrals

Details The Art of Computing Loop Integrals The Art of Computing Loop Integrals

2006-04-07

arxiv.org/abs/hep-ph/0604068v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

49 pages, to appear in the proceedings of the workshop "Renormalization and Universality in Mathematical Physics", held at the

Scientific paper

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.

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