197 citations · 1.6k across the 40 of their papers we have counts for
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hep-th2016★ 28 cited
Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry
Yang Zhang
These notes are for the author's lectures, "Integral Reduction and Applied Algebraic Geometry Techniques" in the School and Workshop on Amplitudes in Beijing 2016. I introduce the…
hep-th2016★ 1 cited
Integration-by-parts reductions from the viewpoint of computational algebraic geometry
Kasper J. Larsen, Yang Zhang
Integration-by-parts reductions play a central role in perturbative QFT calculations. They allow the set of Feynman integrals contributing to a given observable to be reduced to a…
hep-th2016★ 29 cited
The Polynomial Form of the Scattering Equations is an H-Basis
Jorrit Bosma, Mads Sogaard, Yang Zhang
We prove that the polynomial form of the scattering equations is a Macaulay H-basis. We demonstrate that this H-basis facilitates integrand reduction and global residue computation…