Virtuous Trees at Five and Six Points for Yang-Mills and Gravity

Details Virtuous Trees at Five and Six Points for Yang-Mills and Gravity Virtuous Trees at Five and Six Points for Yang-Mills and Gravity

2011-07-24

arxiv.org/abs/1107.4802v1

Physical Review D (Vol.84, No.8), 15 Oct 2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages (double-column), 4 figures

Scientific paper

10.1103/PhysRevD.84.085009

We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: 1) it satisfies the color-kinematic correspondence, and thus trivially generates the associated five-point graviton amplitude, 2) all external state information is encoded in color-ordered partial amplitudes, and 3) one function determines the kinematic contribution of all graphs in the Yang-Mills amplitude, so the associated gravity amplitude is manifestly permutation symmetric. The third virtue, while shared among all known loop-level correspondence-satisfying representations, is novel for tree-level representations sharing the first two virtues. This new D-dimensional representation makes contact with the recently found multiloop five-point representations, suggesting all-loop, all-multiplicity ramifications through unitarity. Additionally we present a slightly less virtuous representation of the six-point MHV and MHVbar amplitudes which holds only in four dimensions.

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