197 citations · 1.6k across the 40 of their papers we have counts for
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Elliptic Functions and Maximal Unitarity
Mads Sogaard, Yang Zhang
Scattering amplitudes at loop level can be reduced to a basis of linearly independent Feynman integrals. The integral coefficients are extracted from generalized unitarity cuts whi…
Integration-by-parts identities from the viewpoint of differential geometry
Yang Zhang
We present a new method to construct integration-by-part (IBP) identities from the viewpoint of differential geometry. Vectors for generating IBP identities are reformulated as dif…
Global Structure of Curves from Generalized Unitarity Cut of Three-loop Diagrams
Jonathan D. Hauenstein, Rijun Huang, Dhagash Mehta +1
This paper studies the global structure of algebraic curves defined by generalized unitarity cut of four-dimensional three-loop diagrams with eleven propagators. The global structu…
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…
Massive Nonplanar Two-Loop Maximal Unitarity
Mads Sogaard, Yang Zhang
We explore maximal unitarity for nonplanar two-loop integrals with up to four massive external legs. In this framework, the amplitude is reduced to a basis of master integrals whos…
Unitarity Cuts of Integrals with Doubled Propagators
Mads Sogaard, Yang Zhang
We extend the notion of generalized unitarity cuts to accommodate loop integrals with higher powers of propagators. Such integrals frequently arise in for example integration-by-pa…