197 citations · 1.6k across the 40 of their papers we have counts for
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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…
The Complete KLT-Map Between Gravity and Gauge Theories
Poul H. Damgaard, Rijun Huang, Thomas Sondergaard +1
We present the complete map of any pair of super Yang-Mills theories to supergravity theories as dictated by the KLT relations in four dimensions. Symmetries and the full set of as…
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…
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…