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Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
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 theExpand
One-loop n-point gauge theory amplitudes, unitarity and collinear limits
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 toExpand
Fusing gauge theory tree amplitudes into loop amplitudes
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 masslessExpand
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
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 twoExpand
The Conformal Field Theory of Orbifolds
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 theExpand
Multi-leg one-loop gravity amplitudes from gauge theory
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 inExpand
High-precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at next-to-next-to leading order
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 toExpand
On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
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 simpleExpand
Moduli dependence of string loop corrections to gauge coupling constants
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 dynamicalExpand