The Hopf algebra structure of the \(R^\ast\)-operation

DOI10.1007/JHEP07(2020)061zbMath1451.81331arXiv2003.04301OpenAlexW3010005896MaRDI QIDQ2215357

Michael Borinsky, Robert Beekveldt, Franz Herzog

Publication date: 11 December 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04301

zbMATH Keywords

scattering amplitudesquantum groupsdifferential and algebraic geometryrenormalization regularization and renormalons

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Feynman diagrams (81T18) Renormalization group methods applied to problems in quantum field theory (81T17) (2)-body potential quantum scattering theory (81U05) Hopf algebras and their applications (16T05)

Related Items (8)

The on-shell expansion: from Landau equations to the Newton polytope ⋮ Recursive computation of Feynman periods ⋮ Non-linear non-renormalization theorems ⋮ Tropical Feynman integration in the Minkowski regime ⋮ Generalised graph Laplacians and canonical Feynman integrals with kinematics ⋮ Flow-oriented perturbation theory ⋮ Renormalization and non-renormalization of scalar EFTs at higher orders ⋮ Renormalization of gluonic leading-twist operators in covariant gauges

Uses Software

• FORM
• feyngen
• feyncop
• Forcer

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