Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations
arXiv:1005.4939 · doi:10.1016/j.physletb.2010.07.021
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.
12 pages, 3 figures
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Cited by in corpus (10)
- An Introduction to On-shell Recursion Relations
- On the Tree-Level Structure of Scattering Amplitudes of Massless Particles
- Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
- Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop
- Note on Permutation Sum of Color-ordered Gluon Amplitudes
- Tree amplitudes and color decomposition in broken SU(2)
- Multigluon tree amplitudes with a pair of massive fermions
- Photon-Graviton Amplitudes from the Effective Action
- Note on Cyclic Sum and Combination Sum of Color-ordered Gluon Amplitudes
- Shifts in BCFW method for QED