{
  "abstract": "Within nonrelativistic QCD (NRQCD) factorization, we calculate the next-to-leading-order (NLO) QCD corrections to $χ_{bJ}\\to J/ψ+γ$ with $J=0,1,2$. We determine all six independent helicity amplitudes, including the one-loop corrections to the QED amplitude and the two-loop corrections to the QCD amplitude, and retain the interference between the QED and QCD amplitudes in the decay widths. The NLO corrections substantially enhance the $χ_{b0}$ and $χ_{b1}$ decay widths, while reducing the $χ_{b2}$ decay width by approximately $36\\%$. Including the QED amplitude leads to sizable destructive interference for $χ_{b0}$ and an enhancement for $χ_{b2}$, but has only a small effect on the $χ_{b1}$ decay width. Two treatments of photon fragmentation, based on the NRQCD matrix element and the experimentally determined $J/ψ$ decay constant, yield NLO unpolarized decay widths that agree at the few percent level or better. Using the decay constant scheme at $μ_R=m_b$, we obtain NLO central branching fractions of $1.03\\times10^{-6}$, $1.45\\times10^{-5}$, and $1.99\\times10^{-6}$ for the three channels, respectively. The NLO corrections reduce the renormalization scale dependence, particularly for $χ_{b2}$, although a sizable dependence remains for $χ_{b0}$. At fixed $m_b$, the branching fractions decrease with increasing $r=m_c/m_b$, more strongly for $χ_{b1}$ and $χ_{b2}$ than for $χ_{b0}$. For $pp$ collisions at $\\sqrt{s}=14\\,{\\rm TeV}$ and an integrated luminosity of $100\\,{\\rm fb}^{-1}$, we estimate about $1.9\\times10^4$ and $4.8\\times10^4$ $\\ell^+\\ell^-γ$ events from $χ_{b0}$ and $χ_{b2}$ decays, respectively. Measurements with the existing Belle $Υ(2S)$ sample remain challenging because of the small expected yields. A larger $Υ(2S)$ sample at Belle II would improve the prospects for observing these radiative decays.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29181",
  "author_total": 2,
  "authors": [
    {
      "name": "Yu-Dong Zhang"
    },
    {
      "name": "Zai-Fu Jiang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fh7s4w9r1n5qr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29181",
  "fulltext_url": null,
  "id": "fh7s4w9r1n5qr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29181",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.29181",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fh7s4w9r1n5qr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.29181",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29181"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Next-to-leading-order QCD corrections to the radiative decays $χ_{bJ}\\to J/ψ+γ$",
  "title_text": "Next-to-leading-order QCD corrections to the radiative decays χ_bJ→ J/ψ+γ",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/fh7s4w9r1n5qr",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/ys59-qb6s",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}