Derivation of functional equations for Feynman integrals from algebraic relations

DOI10.1007/JHEP11(2017)038zbMath1383.81328arXiv1512.09024OpenAlexW2962946779MaRDI QIDQ1706850

Oleg V. Tarasov

Publication date: 28 March 2018

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

Full work available at URL: https://arxiv.org/abs/1512.09024

zbMATH Keywords

scattering amplitudesrenormalization regularization and renormalons

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) (2)-body potential quantum scattering theory (81U05)

Related Items (6)

Functional relations for elliptic polylogarithms ⋮ \texttt{AlgRel.wl}: algebraic relations for the product of propagators in Feynman integrals ⋮ Triangle diagram, distance geometry and symmetries of Feynman integrals ⋮ Using functional equations to calculate Feynman integrals ⋮ Functional reduction of one-loop Feynman integrals with arbitrary masses ⋮ Hypergeometric Functions and Feynman Diagrams

Cites Work

• Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering
• Algebraic reduction of one-loop Feynman graph amplitudes
• Dimensionally-regulated pentagon integrals
• Connection between Feynman integrals having different values of the space-time dimension
• A geometrical angle on Feynman integrals

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