197 citations · 1.6k across the 40 of their papers we have counts for
4 papers · 1 filter
Multivariate Residues and Maximal Unitarity
Mads Sogaard, Yang Zhang
We extend the maximal unitarity method to amplitude contributions whose cuts define multidimensional algebraic varieties. The technique is valid to all orders and is explicitly dem…
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…