From positive geometries to a coaction on hypergeometric functions
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Publication:2188629
DOI10.1007/JHEP02(2020)122zbMath1435.81075arXiv1910.08358MaRDI QIDQ2188629
Samuel Abreu, James Matthew, Claude Duhr, Ruth A. Britto-Pacumio, Einan Gardi
Publication date: 11 June 2020
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08358
Strong interaction, including quantum chromodynamics (81V05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) (2)-body potential quantum scattering theory (81U05)
Related Items (19)
Constraints on sequential discontinuities from the geometry of on-shell spaces ⋮ From positive geometries to a coaction on hypergeometric functions ⋮ From infinity to four dimensions: higher residue pairings and Feynman integrals ⋮ Feynman integrals from positivity constraints ⋮ Intersection numbers from higher-order partial differential equations ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Feynman integral reduction using Gröbner bases ⋮ The Hopf algebra structure of the \(R^\ast\)-operation ⋮ Collider physics at the precision frontier ⋮ An introduction to motivic Feynman integrals ⋮ Sequential discontinuities of Feynman integrals and the monodromy group ⋮ Decomposition of Feynman integrals by multivariate intersection numbers ⋮ Unnamed Item ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero ⋮ Decomposition of Feynman integrals on the maximal cut by intersection numbers ⋮ Duals of Feynman integrals. I: Differential equations ⋮ Top-Down Decomposition: A Cut-Based Approach to Integral Reductions ⋮ Hypergeometric Functions and Feynman Diagrams ⋮ LAURICELLA HYPERGEOMETRIC FUNCTIONS, UNIPOTENT FUNDAMENTAL GROUPS OF THE PUNCTURED RIEMANN SPHERE, AND THEIR MOTIVIC COACTIONS
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