{
  "abstract": "The \"left-hand cut problem\" in lattice QCD arises when exchange singularities invalidate standard relations used to extract scattering amplitudes from the finite-volume spectrum. In recent years, several approaches were proposed to resolve this problem. We establish analytically and verify numerically the equivalence between the three-body approach proposed in [JHEP 06 (2024) 051] and the two-body left-hand cut formalism developed in [JHEP 08 (2024) 075]. We test the equivalence in a scalar model describing a particle scattering from an $S$-wave two-particle bound state through one-particle exchange. Both approaches reproduce the same infinite-volume particle--bound-state amplitude and correctly encode the associated left-hand cut in the finite-volume spectrum. Crucially, we identify that the exponentially suppressed finite-volume effects neglected in both formalisms can be numerically large, compromising amplitude extraction at small lattice volumes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02840",
  "author_total": 3,
  "authors": [
    {
      "name": "André Baião-Raposo"
    },
    {
      "name": "Raul Briceño"
    },
    {
      "name": "Sebastian M. Dawid"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dtqrj8xnjpbch.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02840",
  "fulltext_url": null,
  "id": "dtqrj8xnjpbch",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02840",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7207590646",
  "pdf_url": "https://arxiv.org/pdf/2609.02840",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dtqrj8xnjpbch.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02840",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02840"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "On the equivalence of left-hand-cut and three-body formalisms",
  "title_text": "On the equivalence of left-hand-cut and three-body formalisms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/dtqrj8xnjpbch",
  "venue": "arXiv",
  "versions": []
}