Complete Next-to-Next-to-Leading-Order QCD Correction to $J/ψ\to 3γ$ Decay
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arXiv
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| Format: | Preprint |
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2026
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| author | Zeng, Chao Gong, Bin Wang, Jian-Xiong Niu, Ruichang Huang, Xu-Dong Li, Cong |
| author_facet | Zeng, Chao Gong, Bin Wang, Jian-Xiong Niu, Ruichang Huang, Xu-Dong Li, Cong |
| contents | We address the long-standing problem of negative decay and production rates in perturbative QCD for exclusive processes by proposing amplitude-level NRQCD factorization as a systematic prescription. Building on this, we present the first complete next-to-next-to-leading-order (NNLO) QCD correction to the decay $J/ψ\to 3γ$. The resulting partial width, $Γ(J/ψ\to 3γ) = 0.96^{+4.32}_{-0.13}$ eV, combines this NNLO contribution with the known up to $\mathcal{O}(α_s v^2)$ relativistic correction and shows markedly improved agreement with the high-precision BESIII measurement. In the same way, $Γ(Υ\to 3γ) = 0.0086^{+0.0028}_{-0.0006}$ eV is obtained. The dominant theoretical uncertainty originates from the renormalization scale variation, underscoring the challenge of perturbative convergence at this order and the necessity for future higher-order calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26199 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complete Next-to-Next-to-Leading-Order QCD Correction to $J/ψ\to 3γ$ Decay Zeng, Chao Gong, Bin Wang, Jian-Xiong Niu, Ruichang Huang, Xu-Dong Li, Cong High Energy Physics - Phenomenology We address the long-standing problem of negative decay and production rates in perturbative QCD for exclusive processes by proposing amplitude-level NRQCD factorization as a systematic prescription. Building on this, we present the first complete next-to-next-to-leading-order (NNLO) QCD correction to the decay $J/ψ\to 3γ$. The resulting partial width, $Γ(J/ψ\to 3γ) = 0.96^{+4.32}_{-0.13}$ eV, combines this NNLO contribution with the known up to $\mathcal{O}(α_s v^2)$ relativistic correction and shows markedly improved agreement with the high-precision BESIII measurement. In the same way, $Γ(Υ\to 3γ) = 0.0086^{+0.0028}_{-0.0006}$ eV is obtained. The dominant theoretical uncertainty originates from the renormalization scale variation, underscoring the challenge of perturbative convergence at this order and the necessity for future higher-order calculations. |
| title | Complete Next-to-Next-to-Leading-Order QCD Correction to $J/ψ\to 3γ$ Decay |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.26199 |