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arXiv · 1203.0454

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

Claude Duhr
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Abstract

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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Claude Duhr. 2012-03-02. Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes. https://doi.org/10.1007/jhep08(2012)043

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