65 citations · 303 across the 11 of their papers we have counts for
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Maximal Cuts in Arbitrary Dimension
Jorrit Bosma, Mads Sogaard, Yang Zhang
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in…
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…
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…
Cross-Order Integral Relations from Maximal Cuts
Henrik Johansson, David A. Kosower, Kasper J. Larsen +1
We study the ABDK relation using maximal cuts of one- and two-loop integrals with up to five external legs. We show how to find a special combination of integrals that allows the r…
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…
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…
Multivariate Residues and Maximal Unitarity
Mads Sogaard, Yang Zhang
We extend the maximal unitarity method to amplitude contributions whose cuts define multidimensional algebraic varieties. The technique is valid to all orders and is explicitly dem…
Global Residues and Two-Loop Hepta-Cuts
Mads Sogaard
We examine maximal unitarity in the nonplanar case and derive remarkably compact analytic expressions for coefficients of master integrals with two-loop crossed box topology in mas…
Bilocal phase operators in beta-deformed super Yang-Mills
Mads Sogaard
We present tree-level scattering amplitudes in beta-deformed super Yang-Mills theory in terms of new generating functions, derived by construction of a phase operator and applicati…
Supersums for all supersymmetric amplitudes
Mads Sogaard
We present an on-shell graphical framework for superamplitudes in super Yang-Mills theory with arbitrary supersymmetry. Our diagrammatic procedure is derived through manipulations…