{
  "abstract": "We develop a projection formalism for four-dimensional massless scattering amplitudes based on the construction of harmonics on multi-particle phase space. This provides a generalization of the partial-wave decomposition valid for any number of particles. Applying this formalism to calculations of on-shell cuts, we show that any cut calculation can be rewritten as a sum of products of projected coefficients and derive a condition for this sum to vanish. Using the on-shell renormalization group equation in combination with our projection formalism, we derive new non-renormalization theorems for effective field theories valid at general loop orders.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36052",
  "author_total": 3,
  "authors": [
    {
      "name": "Nathaniel Craig"
    },
    {
      "name": "Brian Henning"
    },
    {
      "name": "Michael Stadlbauer"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3x8eyj0zggbn3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36052",
  "fulltext_url": null,
  "id": "3x8eyj0zggbn3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36052",
  "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"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "openalex",
      "3106|Particle physics theoretical and experimental studies"
    ]
  ],
  "openalex": "W7224117870",
  "pdf_url": "https://arxiv.org/pdf/2610.36052",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3x8eyj0zggbn3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36052",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36052"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "The Harmonic Structure of Multiparticle Scattering: Amplitude Projection and Non-Renormalization",
  "title_text": "The Harmonic Structure of Multiparticle Scattering: Amplitude Projection and Non-Renormalization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/3x8eyj0zggbn3",
  "venue": "arXiv",
  "versions": []
}