197 citations · 1k across the 20 of their papers we have counts for
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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…
Azurite: An algebraic geometry based package for finding bases of loop integrals
Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang
For any given Feynman graph, the set of integrals with all possible powers of the propagators spans a vector space of finite dimension. We introduce the package {\sc Azurite} ({\bf…
MultivariateResidues: a Mathematica package for computing multivariate residues
Kasper J. Larsen, Robbert Rietkerk
Multivariate residues appear in many different contexts in theoretical physics and algebraic geometry. In theoretical physics, they for example give the proper definition of genera…