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Publications Influence

New Relations for Gauge-Theory Amplitudes

- Z. Bern, J. J. Carrasco, H. Johansson
- 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… Expand

697 144- PDF

Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond

- Z. Bern, L. Dixon, V. Smirnov
- Physics, Mathematics
- 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… Expand

699 91- PDF

One-loop n-point gauge theory amplitudes, unitarity and collinear limits

- Z. Bern, L. Dixon, D. Dunbar, D. Kosower
- Physics
- 4 March 1994

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

1,036 71- PDF

Perturbative quantum gravity as a double copy of gauge theory.

- Z. Bern, J. J. Carrasco, H. Johansson
- Physics, Medicine
- Physical review letters
- 4 April 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… Expand

466 70- PDF

Fusing gauge theory tree amplitudes into loop amplitudes

- Z. Bern, L. Dixon, D. Dunbar, D. Kosower
- Physics
- 9 September 1994

Abstract 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… Expand

759 61- PDF

MASSIVE LOOP AMPLITUDES FROM UNITARITY

- Z. Bern, A. G. Morgan
- Physics
- 16 November 1995

Abstract 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… Expand

289 28- PDF

Multi-leg one-loop gravity amplitudes from gauge theory

- Z. Bern, L. Dixon, M. Perelstein, J. Rozowsky
- Physics
- 15 November 1998

Abstract By exploiting relations between gravity and gauge theories, we present two infinite sequences of one-loop n -graviton scattering amplitudes: the ‘maximally helicity-violating’ amplitudes in… Expand

243 28- PDF

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

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… Expand

357 26- PDF

Planar amplitudes in maximally supersymmetric Yang-Mills theory.

- C. Anastasiou, L. Dixon, Z. Bern, D. Kosower
- Physics, Medicine
- Physical review letters
- 3 September 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… Expand

310 25- PDF

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… Expand

408 21- PDF