Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
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 ζ 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. Show more
Journal / seriesJournal of High Energy Physics
Pages / Article No.
SubjectScattering Amplitudes; QCD
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