Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity

Details Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity

2011-06-23

arxiv.org/abs/1106.4711v2

Phys. Rev. D 85, 025006 (2012)

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 5 figures, 1 table, v2 minor clarifications and references added

Scientific paper

10.1103/PhysRevD.85.025006

We present the complete integrands of five-point superamplitudes in N=4 super-Yang-Mills theory and N=8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional internal kinematics. For N=4 super-Yang-Mills theory we give the amplitudes for general gauge group -- including all non-planar contributions. The results are constructed using integral diagrams that manifestly satisfy the conjectured duality between color and kinematics, providing additional nontrivial evidence in favor of the duality for multipoint and multiloop amplitudes. We determine the ultraviolet poles by integrating the amplitudes in the dimensions where logarithmic divergences first occur. We introduce new kinematic prefactors which offer a convenient decomposition of the external state structure of the nonplanar five-point amplitudes in the maximally supersymmetric theories to all loop orders.

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