2012/03/02 by Claude Duhr · 2 citations
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep08(2012)043
46 pages
arxiv created 2012/03/02 · arxiv updated 2015/06/04
We show how the Hopf algebra structure of multiple polylogarithms can be used to simplify complicated expressions for multi-loop amplitudes in perturbative quantum field theory and we argue that, unlike the recently popularized symbol-based approach, the coproduct incorporates information about the zeta values. We illustrate our approach by rewriting the two-loop helicity amplitudes for a Higgs boson plus three gluons in a simplified and compact form involving only classical polylogarithms.