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New Relations for Gauge-Theory Amplitudes
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 colorExpand
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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
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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
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Perturbative quantum gravity as a double copy of gauge theory.
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 areExpand
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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
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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 andExpand
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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
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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
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Planar amplitudes in maximally supersymmetric Yang-Mills theory.
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 contributionsExpand
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The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
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. TheExpand
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