53 citations · 108 across the 8 of their papers we have counts for
6 papers · 1 filter
Evaluating Feynman Integrals Using D-modules and Tropical Geometry
Henrik J. Munch
Feynman integrals play a central role in the modern scattering amplitudes research program. Advancing our methods for evaluating Feynman integrals will, therefore, strengthen our a…
Tropical Feynman integration in the physical region
Michael Borinsky, Henrik J. Munch, Felix Tellander
The software feyntrop for direct numerical evaluation of Feynman integrals is presented. We focus on the underlying combinatorics and polytopal geometries facilitating these method…
Restrictions of Pfaffian Systems for Feynman Integrals
Vsevolod Chestnov, Saiei J. Matsubara-Heo, Henrik J. Munch +1
This work studies limits of Pfaffian systems, a class of first-order PDEs appearing in the Feynman integral calculus. Such limits appear naturally in the context of scattering ampl…
Feynman Integral Relations from GKZ Hypergeometric Systems
Henrik J. Munch
We study Feynman integrals in the framework of Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. The latter defines a class of functions wherein Feynman integrals arise as…
Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal +4
We elaborate on the connection between Gel'fand-Kapranov-Zelevinsky systems, de Rham theory for twisted cohomology groups, and Pfaffian equations for Feynman integrals. We propose…
A Novel Algorithm for Nested Summation and Hypergeometric Expansions
Andrew J. McLeod, Henrik Munch, Georgios Papathanasiou +1
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Such sums appear, for instance, in the expansion of Gauss hypergeometric functions…