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New Relations for Gauge-Theory Amplitudes
- Z. Bern, J. Carrasco, H. Johansson
- Geology, Physics
- 26 May 2008
We present an identity satisfied by the kinematic factors of diagrams describing the tree amplitudes of massless gauge theories. This identity is a kinematic analog of the Jacobi identity for color…
Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
- Z. Bern, L. Dixon, V. Smirnov
- Physics
- 23 May 2005
We compute the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 - 2{epsilon} dimensions, as a Laurent expansion about {epsilon} = 0 including the…
One-loop n-point gauge theory amplitudes, unitarity and collinear limits
- Z. Bern, L. Dixon, D. Dunbar, D. Kosower
- Mathematics
- 4 March 1994
Perturbative quantum gravity as a double copy of gauge theory.
- Z. Bern, J. Carrasco, H. Johansson
- PhysicsPhysical review letters
- 4 April 2010
TLDR
Fusing gauge theory tree amplitudes into loop amplitudes
- Z. Bern, L. Dixon, D. Dunbar, D. Kosower
- Physics
- 9 September 1994
Multi-leg one-loop gravity amplitudes from gauge theory
- Z. Bern, L. Dixon, M. Perelstein, J. Rozowsky
- Geology, Physics
- 15 November 1998
On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
- Z. Bern, L. Dixon, D. Dunbar, M. Perelstein, J. Rozowsky
- Physics
- 23 February 1998
Planar amplitudes in maximally supersymmetric Yang-Mills theory.
- C. Anastasiou, L. Dixon, Z. Bern, D. Kosower
- PhysicsPhysical review letters
- 3 September 2003
TLDR
The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- Z. Bern, M. Czakon, L. Dixon, D. Kosower, V. Smirnov
- Physics
- 23 October 2006
We present an expression for the leading-color (planar) four-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4-2{epsilon} dimensions, in terms of eight separate integrals. The…
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