197 citations · 1.6k across the 40 of their papers we have counts for
Showing 2012 · hep-phShow all
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hep-ph2012★ 40 cited
An Integrand Reconstruction Method for Three-Loop Amplitudes
Simon Badger, Hjalte Frellesvig, Yang Zhang
We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Groebner bases and primary decomposition we develop a method which extracts al…
hep-ph2012★ 113 cited
Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods
Yang Zhang
We present an algorithm for the integrand-level reduction of multi-loop amplitudes of renormalizable field theories, based on computational algebraic geometry. This algorithm uses…
hep-ph2012★ 133 cited
Hepta-Cuts of Two-Loop Scattering Amplitudes
Simon Badger, Hjalte Frellesvig, Yang Zhang
We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six…