{
  "abstract": "In this work, we focus on the light vector meson leading-twist longitudinal distribution amplitudes (DAs) $ϕ^\\parallel_{2;V}(x,μ)$ with $V = ρ, K^\\ast, ϕ$. A new scheme of QCD sum rule research with respect to DA suggested in 2021 by us is adopted. With an improved sum rule formula, the $ξ$-moments $\\langleξ^n\\rangle_{2;V}^\\parallel$ up to tenth order are calculated. In which, $\\langleξ^2\\rangle^\\parallel_{2;ρ}=0.225^{+0.013}_{-0.012}$, $\\langleξ^1\\rangle^\\parallel_{2;K^\\ast}=-0.0228^{+0.0042}_{-0.0040}$, $\\langleξ^2\\rangle^\\parallel_{2;K^\\ast}=0.217^{+0.007}_{-0.007}$, $\\langleξ^2\\rangle^\\parallel_{2;ϕ}=0.209^{+0.020}_{-0.020}$, and the corresponding Gegenbauer moments $a^{2;\\parallel}_{2;ρ}=0.074^{+0.039}_{-0.036}$, $a^{1;\\parallel}_{2;K^\\ast}=-0.038^{+0.007}_{-0.007}$, $a^{2;\\parallel}_{2;K^\\ast}=0.050^{+0.020}_{-0.019}$, $a^{2;\\parallel}_{2;ϕ}=0.027^{+0.058}_{-0.058}$ at the scale $μ= 1~{\\rm GeV}$, respectively. By fitting those $\\langleξ^n\\rangle^\\parallel_{2;V}(n = 1,2,\\cdots,10)$ with the least squares method, the behaviors of leading-twist longitudinal DAs for $ρ, K^\\ast, ϕ$ are determined. In addition, we also analyze the impact of incorporating different numbers of $ξ$-moments into the fitting on the stability and reliability of the obtained DAs. Be different from the pion leading-twist DA, we find that the higher-order moments do not significantly change the reconstructed shapes of $ϕ^\\parallel_{2;V}(x,μ)$. Further, we recalculate the transition form factors and branching ratios of the $D\\to(ρ,K^\\ast)$, $D_s\\toϕ$ semi-leptonic decay processes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.17496",
  "author_total": 4,
  "authors": [
    {
      "name": "Wan-Bing Luo"
    },
    {
      "name": "Ru-Meng Pan"
    },
    {
      "name": "Ya-Xiong Wang"
    },
    {
      "name": "Tao Zhong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/daqwh5s9pxg3g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.17496",
  "fulltext_url": null,
  "id": "daqwh5s9pxg3g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.17496",
  "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-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7169882896",
  "pdf_url": "https://arxiv.org/pdf/2607.17496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/daqwh5s9pxg3g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2607.17496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.17496"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Vector mesons leading-twist longitudinal distribution amplitudes and related semi-leptonic decays within QCD sum rules",
  "title_text": "Vector mesons leading-twist longitudinal distribution amplitudes and related semi-leptonic decays within QCD sum rules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:18Z",
  "url": "https://research.draconitic.com/paper/daqwh5s9pxg3g",
  "venue": "arXiv",
  "versions": []
}