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PreprintCC BY 4.0arXiv

Δ resonance contributions to QED radiative corrections in neutron and inverse beta decay

  • Oleksandr Tomalak
  • Yi-Bo Yang
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Abstract

We incorporate the Δ(1232) resonance into pion-induced QED radiative corrections to neutron decay and inverse beta decay (IBD). Within the framework of heavy-baryon chiral perturbation theory with explicit Δ degrees of freedom, we compute additional contributions and study their impact on IBD cross sections and on the renormalization of the nucleon isovector vector and axial-vector charges. Δ resonance does not renormalize the vector charge. For the axial-vector charge, including the Δ resonance improves convergence and reduces the QED radiative correction to the experiment-over-lattice-QCD ratio gA/(gQCDA gV). Δ resonance increases the pion-induced QED radiative corrections to IBD by a factor $1.2−1.3$.

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Cite

BibTeXRIS
BibTeX
@misc{tomalak2026resonance,
  title = {{$Δ$ resonance contributions to QED radiative corrections in neutron and inverse beta decay}},
  author = {Oleksandr Tomalak and Yi-Bo Yang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.22845},
  eprint = {2608.22845},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.22845},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Δ resonance contributions to QED radiative corrections in neutron and inverse beta decay
AU  - Oleksandr Tomalak
AU  - Yi-Bo Yang
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2608.22845
UR  - https://arxiv.org/abs/2608.22845
AB  - We incorporate the Δ(1232) resonance into pion-induced QED radiative corrections to neutron decay and inverse beta decay (IBD). Within the framework of heavy-baryon chiral perturbation theory with explicit Δ degrees of freedom, we compute additional contributions and study their impact on IBD cross sections and on the renormalization of the nucleon isovector vector and axial-vector charges. Δ resonance does not renormalize the vector charge. For the axial-vector charge, including the Δ resonance improves convergence and reduces the QED radiative correction to the experiment-over-lattice-QCD ratio g_A/(g^QCD_A g_V). Δ resonance increases the pion-induced QED radiative corrections to IBD by a factor $1.2−1.3$.
ER  -