The tree-level single-photon production of a magnetic pair from an electric pair fails with minimal Dirac couplings, because factorization requires a nonzero residue that discrete symmetries forbid.
The Constructive Method for Massive Particles in QED
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abstract
The constructive method of determining amplitudes from on-shell pole structure has been shown to be promising for calculating amplitudes in a more efficient way. However, challenges have been encountered when a massless internal photon is involved in the gluing of three-point amplitudes with massive external particles. In this paper, we use the original on-shell method, old-fashioned perturbation theory, to shed light on the constructive method, and show that one can derive the Feynman amplitude by correctly identifying the residue even when there is an internal photon involved.
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Tree-Level Factorization Obstruction in Monopole Production
The tree-level single-photon production of a magnetic pair from an electric pair fails with minimal Dirac couplings, because factorization requires a nonzero residue that discrete symmetries forbid.