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PreprintCC BY 4.0arXiv

QED corrections to e+e-→π+π-(γ) with amplitude-level resummation

  • Stéphane Delorme
  • Charles Earnshaw
  • Frank Krauss
  • Alan Price
  • Nora Salone
  • Andrzej Siódmok
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Abstract

We present QED corrections to e+e-→π+π-(γ) in two independent Monte Carlo event generators, KKMC and SHERPA, for point-like scalar pions dressed with the pion form factor. All-order soft-photon exponentiation is combined with exact one- and two-photon tree amplitudes, the complete one-loop correction including the initial-final boxes with coherent interference, and at second order the photonic two-loop vertices and the exact one-loop correction to one-photon emission. At first order their fiducial cross sections agree to ≲0.04% and their distributions within statistical precision. The second-order band is ∼0.005% for CMD, ∼0.4% at $4$ GeV and ∼0.9% at $10$ GeV. Theory nuisance parameters estimate missing higher orders, and we construct a new rule for treating radiative return, where first-order corrections are of order one.

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Cite

BibTeXRIS
BibTeX
@misc{delorme2026corrections,
  title = {{QED corrections to $e^+e^-\toπ^+π^-(γ)$ with amplitude-level resummation}},
  author = {Stéphane Delorme and Charles Earnshaw and Frank Krauss and Alan Price and Nora Salone and Andrzej Siódmok},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07067},
  eprint = {2611.07067},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07067},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - QED corrections to e^+e^-→π^+π^-(γ) with amplitude-level resummation
AU  - Stéphane Delorme
AU  - Charles Earnshaw
AU  - Frank Krauss
AU  - Alan Price
AU  - Nora Salone
AU  - Andrzej Siódmok
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.07067
UR  - https://arxiv.org/abs/2611.07067
AB  - We present QED corrections to e^+e^-→π^+π^-(γ) in two independent Monte Carlo event generators, KKMC and SHERPA, for point-like scalar pions dressed with the pion form factor. All-order soft-photon exponentiation is combined with exact one- and two-photon tree amplitudes, the complete one-loop correction including the initial-final boxes with coherent interference, and at second order the photonic two-loop vertices and the exact one-loop correction to one-photon emission. At first order their fiducial cross sections agree to ≲0.04% and their distributions within statistical precision. The second-order band is ∼0.005% for CMD, ∼0.4% at $4$ GeV and ∼0.9% at $10$ GeV. Theory nuisance parameters estimate missing higher orders, and we construct a new rule for treating radiative return, where first-order corrections are of order one.
ER  -