197 citations · 1k across the 20 of their papers we have counts for
20 papers
Differential equations for loop integrals without squared propagators
Jorrit Bosma, Kasper J. Larsen, Yang Zhang
We provide a sufficient condition for avoiding squared propagators in the intermediate stages of setting up differential equations for loop integrals. This condition is satisfied i…
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…
Cristal and Azurite: new tools for integration-by-parts reductions
Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang
Scattering amplitudes computed at a fixed loop order, along with any other object computed in perturbative quantum field theory, can be expressed as a linear combination of a finit…
MultivariateResidues - a Mathematica package for computing multivariate residues
Kasper J. Larsen, Robbert Rietkerk
We present the Mathematica package MultivariateResidues, which allows for the efficient evaluation of multivariate residues based on methods from computational algebraic geometry.…
Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
Janko Boehm, Alessandro Georgoudis, Kasper J. Larsen +2
Integration-by-parts identities between loop integrals arise from the vanishing integration of total derivatives in dimensional regularization. Generic choices of total derivatives…
Differential equations for loop integrals in Baikov representation
Jorrit Bosma, Kasper J. Larsen, Yang Zhang
We present a proof that differential equations for Feynman loop integrals can always be derived in Baikov representation without involving dimension-shift identities. We moreover s…