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PreprintCC BY 4.0arXiv

Next-to-leading order corrections to radiative pion pair production via dispersion relations

Abstract

We compute the next-to-leading order corrections to the radiative return process e+ e- → π+ π- γ using a dispersive representation of the pion form factor for the calculation of loop integrals. We compare our results with those of the factorised scalar QED approach, as well as with previous predictions obtained by us in the generalised vector meson dominance model. We show the numerical impact of the structure-dependent corrections on various observables of interest for radiative return experiments at flavour factories. Following recent input from the literature, we include in our calculation also corrections due to neutral pseudoscalar poles and we provide a first estimate of such contributions. We also investigate additional mechanisms contributing to final-state radiation at center-of-mass energies around the ϕ-meson resonance, such as radiative ϕ decays, presenting numerical results that are relevant for the KLOE experiment. These novel features are implemented in the Monte Carlo event generator BabaYaga@NLO, which can now be used to evaluate the impact of the modelling of pion-photon interaction in radiative return measurements.

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BibTeX
@misc{calame2026nexttoleading,
  title = {{Next-to-leading order corrections to radiative pion pair production via dispersion relations}},
  author = {Carlo M. Carloni Calame and Marco Ghilardi and Andrea Gurgone and Guido Montagna and Mauro Moretti and Oreste Nicrosini and Fulvio Piccinini and Francesco P. Ucci},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.24642},
  eprint = {2607.24642},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.24642},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Next-to-leading order corrections to radiative pion pair production via dispersion relations
AU  - Carlo M. Carloni Calame
AU  - Marco Ghilardi
AU  - Andrea Gurgone
AU  - Guido Montagna
AU  - Mauro Moretti
AU  - Oreste Nicrosini
AU  - Fulvio Piccinini
AU  - Francesco P. Ucci
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2607.24642
UR  - https://arxiv.org/abs/2607.24642
AB  - We compute the next-to-leading order corrections to the radiative return process e^+ e^- → π^+ π^- γ using a dispersive representation of the pion form factor for the calculation of loop integrals. We compare our results with those of the factorised scalar QED approach, as well as with previous predictions obtained by us in the generalised vector meson dominance model. We show the numerical impact of the structure-dependent corrections on various observables of interest for radiative return experiments at flavour factories. Following recent input from the literature, we include in our calculation also corrections due to neutral pseudoscalar poles and we provide a first estimate of such contributions. We also investigate additional mechanisms contributing to final-state radiation at center-of-mass energies around the ϕ-meson resonance, such as radiative ϕ decays, presenting numerical results that are relevant for the KLOE experiment. These novel features are implemented in the Monte Carlo event generator BabaYaga@NLO, which can now be used to evaluate the impact of the modelling of pion-photon interaction in radiative return measurements.
ER  -