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

Duhr, Claude
(2012) Journal of High Energy Physics — Vol. 2012, n° 8, p. 43 (2012)

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Authors
  • Duhr, ClaudeUCLouvain
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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.
Affiliations
  • ETH ZurichInstitut für Theoretische Physik

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Duhr, C. (2012). Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes. Journal of High Energy Physics, 2012(8), 43. https://doi.org/10.1007/JHEP08(2012)043 (Original work published 2012)