Monday, March 5, 2012

1203.0454 (Claude Duhr)

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

Claude Duhr
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.
View original: http://arxiv.org/abs/1203.0454

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