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The Constructive Method for Massive Particles in QED

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arxiv 2312.11621 v1 pith:NM2SZRXP submitted 2023-12-18 hep-ph hep-th

Hsing-Yi Lai , Da Liu , John Terning This is my paper · ORCID
classification hep-phhep-th
keywords methodamplitudesconstructivebeeninternalinvolvedmassiveon-shell
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Tree-Level Factorization Obstruction in Monopole Production

    hep-th 2026-08 accept novelty 7.0 of 10

    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.

  2. Massive Helicity-Chirality Spinor Formalism from Massless Amplitudes with On-shell Mass Insertion

    hep-ph 2025-01 conditional novelty 7.0 of 10

    A new helicity-chirality spinor basis with a 'transversality' charge claims a one-to-one UV-IR correspondence between massive amplitudes and massless amplitudes with Higgs insertions, and reproduces pion decay, top de...

  3. Massive Gauge Theories from Consistency Conditions of Amplitudes

    hep-th 2025-10 conditional novelty 6.0 of 10

    Massive vector-boson and scalar amplitudes through four points are uniquely fixed by two on-shell consistency conditions, forcing spontaneously-broken gauge theories — or Stueckelberg theory when scalar masses are equ...

  4. Extended Poincare Symmetry Dictates Massive Scattering Amplitudes

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A new U(1) 'transversality' symmetry, embedded in SO(5,1), fixes the structure of massive three-point amplitudes and resolves the e+e- to mu+mu- discrepancy in the spinor-helicity formalism.

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