Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-03-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
46 pages
Scientific paper
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.
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