{
  "abstract": "A broad class of physical observables can be expressed in terms of smeared spectral functions. Important examples include the hadronic vacuum polarization contribution to the muon $g-2$, hadronic $τ$ decays, inclusive semileptonic $B$ and $D$ decays, and amplitudes for rare processes such as $B\\to K^{(*)}\\ell^+\\ell^-$. In recent years, a variety of methods have been proposed to reconstruct or constrain such spectral functions from Euclidean correlators and related inputs. However, the inverse problem is intrinsically ill-posed, making it difficult to obtain fully reliable, model-independent results with controlled uncertainties. In this contribution, I summarize recent developments, discuss the opportunities offered by smeared spectral observables, and highlight the main challenges that remain.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02239",
  "author_total": 1,
  "authors": [
    {
      "name": "Shoji Hashimoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/btcm2j9fywkdp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02239",
  "fulltext_url": null,
  "id": "btcm2j9fywkdp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02239",
  "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"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7207577758",
  "pdf_url": "https://arxiv.org/pdf/2609.02239",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/btcm2j9fywkdp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.02239",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02239"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Smeared spectral functions from lattice QCD: opportunities and challenges",
  "title_text": "Smeared spectral functions from lattice QCD: opportunities and challenges",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/btcm2j9fywkdp",
  "venue": "arXiv",
  "versions": []
}