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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

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

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

Strings on orbifolds

String propagation on the quotient of a flat torus by a discrete group is considered. We obtain an exactly soluble and more or less realistic method of string compactification.

New color decompositions for gauge amplitudes at tree and loop level

- V. Duca, L. Dixon, F. Maltoni
- Physics
- 1 November 1999

Recently, a color decomposition using structure constants was introduced for purely gluonic tree amplitudes, in a compact form involving only the linearly independent subamplitudes. We give two… Expand

The Conformal Field Theory of Orbifolds

- L. Dixon, D. Friedan, E. Martinec, S. Shenker
- Physics
- 1987

A prescription for the calculation of any correlation function in orbifold conformal field theory is given. The method is applied to the scattering of four twisted string states, which allows the… Expand

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

High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order

- C. Anastasiou, L. Dixon, K. Melnikov, F. Petriello
- Physics
- 18 December 2003

We compute the rapidity distributions of W and Z bosons produced at the Tevatron and the LHC through next-to-next-to leading order in QCD. Our results demonstrate remarkable stability with respect to… Expand

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

Moduli dependence of string loop corrections to gauge coupling constants

- L. Dixon, V. Kaplunovsky, J. Louis
- Physics
- 27 May 1991

We consider one-loop corrections 4Δa to inverse gauge couplings ga−2 in supersymmetric vacua of the heterotic string. The form of these corrections plays an important role in scenarios for dynamical… Expand

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