{
  "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 $Q^2\\rightarrow 0$ 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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.03486",
  "author_total": 1,
  "authors": [
    {
      "name": "Matteo Ronchi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/da3mg35h3kk9n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.03486",
  "fulltext_url": null,
  "id": "da3mg35h3kk9n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.03486",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7220371209",
  "pdf_url": "https://arxiv.org/pdf/2610.03486",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/da3mg35h3kk9n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.03486",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.03486"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule",
  "title_text": "NNLO QED corrections and inelastic two-photon exchange in elastic lepton-proton scattering with McMule",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:45Z",
  "url": "https://research.draconitic.com/paper/da3mg35h3kk9n",
  "venue": "arXiv",
  "versions": []
}