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Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations

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arxiv 1005.4939 v1 pith:OAQ2PEKF submitted 2010-05-26 hep-ph

Simon Badger , Johannes M. Henn This is my paper · ORCID
classification hep-ph
keywords amplitudescompactrecursionbcfwphotonsrelationtree-leveladditional
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Soft Factor Structure of MHV Amplitudes for Massless Charged Particles

    hep-th 2025-05 conditional novelty 6.0 of 10

    MHV amplitudes in massless QED are derived in a factorized soft-factor form, with proof by BCFW recursion, extending to scalars, supersymmetry, and gravity up to eight points.

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