Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

Details Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

2012-03-02

arxiv.org/abs/1203.0454v1

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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