197 citations · 1.6k across the 40 of their papers we have counts for
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hep-th2015★ 197 cited
Integration-by-parts reductions from unitarity cuts and algebraic geometry
Kasper J. Larsen, Yang Zhang
We show that the integration-by-parts reductions of various two-loop integral topologies can be efficiently obtained by applying unitarity cuts to a specific set of subgraphs and s…
hep-th2015★ 44 cited
Scattering Equations and Global Duality of Residues
Mads Sogaard, Yang Zhang
We examine the polynomial form of the scattering equations by means of computational algebraic geometry. The scattering equations are the backbone of the Cachazo-He-Yuan (CHY) repr…
hep-th2015★ 9 cited
Two-loop Integral Reduction from Elliptic and Hyperelliptic Curves
Alessandro Georgoudis, Yang Zhang
We show that for a class of two-loop diagrams, the on-shell part of the integration-by-parts (IBP) relations correspond to exact meromorphic one-forms on algebraic curves. Since it…