5 papers
Module Intersection for the Integration-by-Parts Reduction of Multi-Loop Feynman Integrals
Dominik Bendle, Janko Boehm, Wolfram Decker +4
In this manuscript, which is to appear in the proceedings of the conference "MathemAmplitude 2019" in Padova, Italy, we provide an overview of the module intersection method for th…
Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Dominik Bendle, Janko Boehm, Wolfram Decker +5
We introduce an algebro-geometrically motived integration-by-parts (IBP) reduction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel…
All five-loop planar four-point functions of half-BPS operators in SYM
Dmitry Chicherin, Alessandro Georgoudis, Vasco Goncalves +1
We obtain all planar four-point correlators of half-BPS operators in SYM up to five loops. The ansatz for the integrand is fixed partially by imposing light-cone OP…
Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen +2
We present the powerful module-intersection integration-by-parts (IBP) method, suitable for multi-loop and multi-scale Feynman integral reduction. Utilizing modern computational al…
Five-loop massless propagator integrals
Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer +1
We develop a method to obtain -expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of confor…