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

被引：0
|
作者：
Claude Duhr
机构：
[1] Institut für theoretische Physik,
[2] ETH Zürich,undefined
来源：
Journal of High Energy Physics | / 2012卷
关键词：
Scattering Amplitudes; QCD;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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