{
  "abstract": "The $f_0(1500)$ is a quite special resonance in the light scalar spectrum. Compared with other nearby resonance, it has an unexpectedly narrow decay width. Since its mass region overlaps strongly with $f_0(1370)$ and $f_0(980)$, physicists have long debated its internal structure. To explore this issue, this work adopted the conventional quark-antiquark $q\\bar{q}$ picture and investigated the behavior of the $f_0(1500)$-resonance in quasi-four-body decay channels. Based on this, we constructed a twist-2 light-cone distribution amplitude(LCDA) schemes based on the light-cone harmonic oscillator model, and presented their moments $\\langle ξ^n _{2;f_0(1500)} \\rangle |_μ$ and Gegenbauer moments $a_{n;f_0(1500)}(μ)$ at $μ_0=1~\\mathrm{GeV}$ and $μ_k= 3~\\mathrm{GeV}$ for $n=1,3,5$. Meanwhile, the $B_s\\to f_0(1500)$ transition form factors (TFFs) are calculated by using the QCD light-cone sum rule. Then, we obtained the three TFFs at large recoil point, {\\it i.e.,} $f_ + ^{B_s f_0(1500)}(0)= 0.390_{-0.046}^{ + 0.047}$, $f_-^{B_s f_0(1500)}(0)= -0.460_{-0.055}^{ + 0.051}$, and $f_{\\rm T}^{B_s f_0(1500)}(0)= 0.568^{ + 0.069}_{-0.065}$. In addition, we extrapolated TFFs to the whole physical $q^2$-region by using the simplified $z(q^2)$-series expansion. Then we computed the branching fractions of the quasi-four-body rare decays $B_s \\to f_0(1500)(\\to π^ + π^-)\\ell^ + \\ell^-$ and $B_s \\to f_0(1500)(\\to π^ + π^-)ν\\barν$. For comparison, we also present the results of the corresponding three-body decays obtained under the narrow-width approximation. Finally, we show the distribution of the double-differential decay width $d^2Γ/ds dq^2$ for the quasi-four-body decay $B_s\\to f_0(1500)(\\toπ^ + π^-)μ^ + μ^-$. We hope that our predictions can provide a useful theoretical reference for future experimental measurements and phenomenological research.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18890",
  "author_total": 6,
  "authors": [
    {
      "name": "Xue Zheng"
    },
    {
      "name": "Hai-Bing Fu"
    },
    {
      "name": "Dan-Dan Hu"
    },
    {
      "name": "Jing-Kai Yang"
    },
    {
      "name": "Jian-Qi Chen"
    },
    {
      "name": "Wan-Bing Luo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c0efayrctp7dy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18890",
  "fulltext_url": null,
  "id": "c0efayrctp7dy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18890",
  "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": "W7213502708",
  "pdf_url": "https://arxiv.org/pdf/2609.18890",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c0efayrctp7dy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.18890",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18890"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Addressing the $S$-wave scalar $f_0(1500)$-resonance in quasi-four-body FCNC rare $B_s \\to f_0(1500) (\\to π^+ π^- ) \\ell^+ \\ell^- / ν\\bar ν$ decays",
  "title_text": "Addressing the S-wave scalar f_0(1500)-resonance in quasi-four-body FCNC rare B_s → f_0(1500) (→ π^+ π^- ) ℓ^+ ℓ^- / νν̅ decays",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/c0efayrctp7dy",
  "venue": "arXiv",
  "versions": []
}