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PreprintCC BY-NC-ND 4.0HAL

Cutting rules in strong field QED with application to trident pair production

  • Y.V Selivanov
  • A.A Mironov
  • A.I Alexeenko
  • A.M Fedotov
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Abstract

Following Veltman's approach, we formulate and discuss a general cutting equation for QED in a plane-wave background. We apply the corresponding cutting rules to justify the connection between the two-loop radiative corrections to elastic electron scattering and the rate of the trident process in a constant crossed field. As a byproduct, we compare the previously published results for the trident process in a constant crossed field and present a complete analytical expression for direct and exchange contributions to its rate, which is resolved in the spin of the initial electron. Our findings establish that although total rates can be reliably extracted from higher-loop by applying the cutting rules, reconstruction of differential rates requires additional care. The cutting rules apply to any loop order and may be extended to nonperturbative regimes.

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Cite

BibTeXRIS
BibTeX
@misc{selivanov2026cutting,
  title = {{Cutting rules in strong field QED with application to trident pair production}},
  author = {Y.V Selivanov and A.A Mironov and A.I Alexeenko and A.M Fedotov},
  howpublished = {HAL},
  year = {2026},
  month = may,
  doi = {10.48550/arxiv.2605.12479},
  eprint = {2605.12479},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05632883v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Cutting rules in strong field QED with application to trident pair production
AU  - Y.V Selivanov
AU  - A.A Mironov
AU  - A.I Alexeenko
AU  - A.M Fedotov
PY  - 2026
DA  - 2026/05/12
PB  - HAL
DO  - 10.48550/arxiv.2605.12479
UR  - https://hal.science/hal-05632883v1
AB  - Following Veltman's approach, we formulate and discuss a general cutting equation for QED in a plane-wave background. We apply the corresponding cutting rules to justify the connection between the two-loop radiative corrections to elastic electron scattering and the rate of the trident process in a constant crossed field. As a byproduct, we compare the previously published results for the trident process in a constant crossed field and present a complete analytical expression for direct and exchange contributions to its rate, which is resolved in the spin of the initial electron. Our findings establish that although total rates can be reliably extracted from higher-loop by applying the cutting rules, reconstruction of differential rates requires additional care. The cutting rules apply to any loop order and may be extended to nonperturbative regimes.
ER  -