89 citations · 560 across the 25 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…
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…
Konishi OPE coefficient at the five loop order
Alessandro Georgoudis, Vasco Goncalves, Raul Pereira
We use the method of asymptotic expansions to study the OPE limit of a four-point function of protected operators in N=4 SYM. We use a new method for evaluating the resulting propa…
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…