279 citations · 824 across the 5 of their papers we have counts for
5 papers
Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
Z. Bern, J. J. M. Carrasco, L. J. Dixon +2
We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N=4 super-Yang-Mills theory, including the nonplanar…
The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
Z. Bern, J. J. M. Carrasco, L. J. Dixon +2
We present the complete four-loop four-point amplitude in N=4 super-Yang-Mills theory, for a general gauge group and general D-dimensional covariant kinematics, and including all n…
On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
Z. Bern, J. J. M. Carrasco, H. Ita +2
In this paper we describe algebraic and diagrammatic methods, related to the MHV generating function method, for evaluating and exposing the structure of supersymmetric sums over t…
Unexpected Cancellations in Gravity Theories
Z. Bern, J. J. Carrasco, D. Forde +2
Recent computations of scattering amplitudes show that N=8 supergravity is surprisingly well behaved in the ultraviolet and may even be ultraviolet finite in perturbation theory. T…
Three-Loop Superfiniteness of N=8 Supergravity
Z. Bern, J. J. Carrasco, L. J. Dixon +3
We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not pr…