NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule
Abstract
We supplement McMule, a Monte Carlo framework that provides QED corrections up to next-to-next-to-leading order (NNLO) in the fine structure constant α, with the inelastic two-photon exchange (TPE) contribution, based on the data-driven dispersive calculation of Tomalak, Pasquini and Vanderhaeghen, which we extend to the Q2→ 0 limit that enables applications in the low-Q2 region relevant for upcoming low-energy experiments. We present results for two experimental settings: the future MAGIX@MESA experiment and the ISR@MAMI measurement. For MAGIX@MESA kinematics, the inelastic TPE is small, comparable to the proton-side NLO corrections and subdominant to both the leptonic radiative corrections and the full NNLO QED corrections once a 1 MeV photon-energy cut is applied. For the ISR@MAMI kinematics, NNLO QED corrections modify the radiative tail below the elastic peak at the 10% level.
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BibTeX
@misc{ronchi2026nnlo,
title = {{NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule}},
author = {Matteo Ronchi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03486},
eprint = {2610.03486},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03486},
}
RIS
TY - UNPB
TI - NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule
AU - Matteo Ronchi
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03486
UR - https://arxiv.org/abs/2610.03486
AB - We supplement McMule, a Monte Carlo framework that provides QED corrections up to next-to-next-to-leading order (NNLO) in the fine structure constant α, with the inelastic two-photon exchange (TPE) contribution, based on the data-driven dispersive calculation of Tomalak, Pasquini and Vanderhaeghen, which we extend to the Q^2→ 0 limit that enables applications in the low-Q^2 region relevant for upcoming low-energy experiments. We present results for two experimental settings: the future MAGIX@MESA experiment and the ISR@MAMI measurement. For MAGIX@MESA kinematics, the inelastic TPE is small, comparable to the proton-side NLO corrections and subdominant to both the leptonic radiative corrections and the full NNLO QED corrections once a 1 MeV photon-energy cut is applied. For the ISR@MAMI kinematics, NNLO QED corrections modify the radiative tail below the elastic peak at the 10% level.
ER -