197 citations · 1.6k across the 40 of their papers we have counts for
6 papers · 1 filter
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…
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…
Algebraic geometry and Bethe ansatz (I) the quotient ring for BAE
Yunfeng Jiang, Yang Zhang
In this paper and upcoming ones, we initiate a systematic study of Bethe ansatz equations for integrable models by modern computational algebraic geometry. We show that algebraic g…
Maximal Cuts in Arbitrary Dimension
Jorrit Bosma, Mads Sogaard, Yang Zhang
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in…
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…