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arXiv · 1906.10821

Application of BCFW-recursion relations and the Feynman-tree theorem to the four gluon amplitude with all plus helicities

M. Maniatis
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Abstract

Recently it has been shown that in gauge theories amplitudes to any perturbation order can be obtained by glueing together simple three-point on-shell amplitudes. These three-point amplitudes in turn are fixed by locality and Lorentz invariance. This factorization into three-point on-shell amplitudes follows from the BCFW recursion relations and the Feynman-tree theorem. In an explicit example, that is, the four-gluon amplitude with all plus helicities, we illustrate the method. In conventional calculation this amplitude corresponds to one-loop box diagrams.

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M. Maniatis. 2019-06-26. Application of BCFW-recursion relations and the Feynman-tree theorem to the four gluon amplitude with all plus helicities. https://doi.org/10.1103/physrevd.100.096022

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