Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations

Understand

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.