Two-loop QCD corrections to $η_b \to J/ψ+ γ$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910054076121088 |
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| author | Yang, Hao Zuo, Lin Long, Bingwei |
| author_facet | Yang, Hao Zuo, Lin Long, Bingwei |
| contents | We present a next-to-leading-order (NLO) analysis of the rare radiative decay $η_b \to J/ψγ$, a flavor-changing transition between bottomonium and charmonium, within the framework of non-relativistic QCD (NRQCD). We systematically compute the complete $\mathcal{O}(α_s)$ corrections, which include the one-loop QCD corrections to the QED-initiated amplitudes and the two-loop corrections to the QCD-initiated ones. The branching ratio is enhanced from $2.06^{+2.82}_{-1.32}\times10^{-7}$ at LO to $7.53^{+5.67}_{-1.16}\times10^{-7}$ at NLO, representing an increase by a factor of about 3.65. The theoretical uncertainties caused by renormalization scale and $m_{b/c}$ masses are also discussed. Furthermore, the renormalization scale dependence is reduced at NLO. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14847 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-loop QCD corrections to $η_b \to J/ψ+ γ$ Yang, Hao Zuo, Lin Long, Bingwei High Energy Physics - Phenomenology We present a next-to-leading-order (NLO) analysis of the rare radiative decay $η_b \to J/ψγ$, a flavor-changing transition between bottomonium and charmonium, within the framework of non-relativistic QCD (NRQCD). We systematically compute the complete $\mathcal{O}(α_s)$ corrections, which include the one-loop QCD corrections to the QED-initiated amplitudes and the two-loop corrections to the QCD-initiated ones. The branching ratio is enhanced from $2.06^{+2.82}_{-1.32}\times10^{-7}$ at LO to $7.53^{+5.67}_{-1.16}\times10^{-7}$ at NLO, representing an increase by a factor of about 3.65. The theoretical uncertainties caused by renormalization scale and $m_{b/c}$ masses are also discussed. Furthermore, the renormalization scale dependence is reduced at NLO. |
| title | Two-loop QCD corrections to $η_b \to J/ψ+ γ$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.14847 |