English

Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations

High Energy Physics - Phenomenology 2014-11-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1005.4939,
  title  = {Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations},
  author = {Simon Badger and Johannes M. Henn},
  journal= {arXiv preprint arXiv:1005.4939},
  year   = {2014}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-21T15:28:21.781Z