{
  "abstract": "We apply the soft photon approximation to QED processes in a strong plane-wave laser field. New compact expressions for the emission factors are presented, which simplify the generalization to multiple soft photon emission. The method is applied to nonlinear single, double, and $N$-photon Compton scattering. For single Compton scattering, we show that the soft photon approximation reproduces the exact spectrum with accuracy $\\mathcal{O}(ω/\\varepsilon)$, significantly outperforming the classical radiation theory. For double Compton scattering, we derive analytical expressions for the differential probability in two kinematic regimes: when both photons are soft, and when one photon is soft while the other has arbitrary energy. We present a compact analytical expression for the amplitude of $N$-photon emission within the soft photon approximation. A numerical implementation in Wolfram Mathematica for single and double Compton scattering is provided.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. D 114, 056028 (2026)",
  "arxiv": "2607.11160",
  "author_total": 2,
  "authors": [
    {
      "name": "Peter A. Krachkov"
    },
    {
      "name": "Simon V. Sorokin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7gm3me41xc4dr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.11160",
  "fulltext_url": null,
  "id": "7gm3me41xc4dr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.11160",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2607.11160",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7gm3me41xc4dr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2607.11160",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.11160"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Soft photon approximation in a laser field: applications",
  "title_text": "Soft photon approximation in a laser field: applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/7gm3me41xc4dr",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/nb7r-qhkb",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}