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.
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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.