53 citations · 108 across the 8 of their papers we have counts for
8 papers
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…
Tropical Feynman integration in the Minkowski regime
Michael Borinsky, Henrik J. Munch, Felix Tellander
We present a new computer program, , which uses the tropical geometric approach to evaluate Feynman integrals numerically. In order to apply this approach in the…
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…
Two-photon exchange in leptophilic dark matter scenarios
Raghuveer Garani, Federico Gasparotto, Pierpaolo Mastrolia +3
In leptophilic scenarios, dark matter interactions with nuclei, relevant for direct detection experiments and for the capture by celestial objects, could only occur via loop-induce…
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…