Simplicity in the Structure of QED and Gravity Amplitudes

Details Simplicity in the Structure of QED and Gravity Amplitudes Simplicity in the Structure of QED and Gravity Amplitudes

2008-11-20

arxiv.org/abs/0811.3405v1

JHEP 0902:038,2009

Physics

High Energy Physics

High Energy Physics - Theory

43 pages. Latex, 7 figures

Scientific paper

10.1088/1126-6708/2009/02/038

We investigate generic properties of one-loop amplitudes in unordered gauge theories in four dimensions. For such theories the organisation of amplitudes in manifestly crossing symmetric expressions poses restrictions on their structure and results in remarkable cancellations. We show that one-loop multi-photon amplitudes in QED with at least eight external photons are given only by scalar box integral functions. This QED `no-triangle' property is true for all helicity configurations and has similarities to the `no-triangle' property found in the case of maximal N = 8 supergravity. Results are derived both via a world-line formalism as well as using on-shell unitarity methods. We show that the simple structure of the loop amplitude originates from the extremely good BCFW scaling behaviour of the QED tree-amplitude.

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