Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations

Details Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations

2010-05-26

arxiv.org/abs/1005.4939v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures

Scientific paper

We construct a modified on-shell BCFW recursion relation to derive compact analytic representations of tree-level amplitudes in QED. As an application, we study the amplitudes of a fermion pair coupling to an arbitrary number of photons and give compact formulae for the NMHV and NNMHV case. We demonstrate that the new recursion relation reduces the growth in complexity with additional photons to be exponential rather than factorial.

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