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PreprintCC BY 4.0arXiv

Smeared spectral functions from lattice QCD: opportunities and challenges

  • Shoji Hashimoto
Open at sourcePDFDOICite

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→ K(*)ℓ+ℓ-. 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.

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Cite

BibTeXRIS
BibTeX
@misc{hashimoto2026smeared,
  title = {{Smeared spectral functions from lattice QCD: opportunities and challenges}},
  author = {Shoji Hashimoto},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02239},
  eprint = {2609.02239},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02239},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Smeared spectral functions from lattice QCD: opportunities and challenges
AU  - Shoji Hashimoto
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02239
UR  - https://arxiv.org/abs/2609.02239
AB  - 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→ K^(*)ℓ^+ℓ^-. 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.
ER  -