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PreprintCC BY 4.0arXiv

Analytic results for the two-loop renormalization constants of Feynman gauge QED

  • Gregory S. Adkins
  • Elias Mitchell
  • A. Volkan Turan
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Abstract

The two-loop renormalization constants Zm and Z1 = Z2 of Feynman gauge quantum electrodynamics (QED) in the on-shell scheme are computed using dimensional regularization. Analytic results are obtained for these constants. In addition, analytic expressions are obtained for their expansion coefficients in the dimensional regularization parameter ε from order 1/ε2 through order ε5. The high-order expansion coefficients will be needed for future multiloop calculations in QED and will provide a useful check for multiloop calculations in QCD.

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Cite

BibTeXRIS
BibTeX
@misc{adkins2026analytic,
  title = {{Analytic results for the two-loop renormalization constants of Feynman gauge QED}},
  author = {Gregory S. Adkins and Elias Mitchell and A. Volkan Turan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26750},
  eprint = {2610.26750},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26750},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Analytic results for the two-loop renormalization constants of Feynman gauge QED
AU  - Gregory S. Adkins
AU  - Elias Mitchell
AU  - A. Volkan Turan
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26750
UR  - https://arxiv.org/abs/2610.26750
AB  - The two-loop renormalization constants Z_m and Z_1 = Z_2 of Feynman gauge quantum electrodynamics (QED) in the on-shell scheme are computed using dimensional regularization. Analytic results are obtained for these constants. In addition, analytic expressions are obtained for their expansion coefficients in the dimensional regularization parameter ε from order 1/ε^2 through order ε^5. The high-order expansion coefficients will be needed for future multiloop calculations in QED and will provide a useful check for multiloop calculations in QCD.
ER  -