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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… (More)

We present a technique which utilizes unitarity and collinear limits to construct ansätze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for… (More)

We compute the leading-color (planar) three-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 − 2 dimensions, as a Laurent expansion about = 0 including the finite terms. The… (More)

- Z. Bern, John Joseph M. Carrasco, Henrik M Johansson
- Physical review letters
- 2010

In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are… (More)

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless… (More)

String theory implies that field theories containing gravity are in a certain sense ‘products’ of gauge theories. We make this product structure explicit up to two loops for the relatively simple… (More)

- Z. Bern, Andrew G. Morgan
- 1996

We show, for previously uncalculated examples containing a uniform mass in the loop, that it is possible to obtain complete massive one-loop gauge theory amplitudes solely from unitarity and known… (More)

- Charalampos Anastasiou, Lance S. Dixon, Z. Bern, D. A. Kosower
- Physical review letters
- 2003

The collinear factorization properties of two-loop scattering amplitudes in dimensionally regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions… (More)

By exploiting relations between gravity and gauge theories, we present two in nite sequences of one-loop n-graviton scattering amplitudes: the `maximally helicity-violating' amplitudes in N = 8… (More)

We present an expression for the leading-color (planar) four-loop four-point amplitude of N = 4 supersymmetric Yang-Mills theory in 4 − 2ǫ dimensions, in terms of eight separate integrals. The… (More)