197 citations · 1.6k across the 40 of their papers we have counts for
9 papers · 1 filter
NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals
Zihao Wu, Janko Boehm, Rourou Ma +2
In this work, we present the package {\sc NeatIBP}, which automatically generates small-size integration-by-parts (IBP) identities for Feynman integrals. Based on the syzygy and mo…
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…
Multi-loop integrand reduction techniques
Simon Badger, Hjalte Frellesvig, Yang Zhang
We review recent progress in D-dimensional integrand reduction algorithms for two loop amplitudes and give examples of their application to non-planar maximal cuts of the five-poin…
Multi-loop Integrand Reduction with Computational Algebraic Geometry
Simon Badger, Hjalte Frellesvig, Yang Zhang
We discuss recent progress in multi-loop integrand reduction methods. Motivated by the possibility of an automated construction of multi-loop amplitudes via generalized unitarity c…
A Two-Loop Five-Gluon Helicity Amplitude in QCD
Simon Badger, Hjalte Frellesvig, Yang Zhang
We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure…
On Genera of Curves from High-loop Generalized Unitarity Cuts
Rijun Huang, Yang Zhang
Generalized unitarity cut of a Feynman diagram generates an algebraic system of polynomial equations. At high-loop levels, these equations may define a complex curve or a (hyper-)s…