Next-to-next-to-leading-order QCD corrections to double $J/ψ$ production at the $B$ factories
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arXiv
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| Format: | Preprint |
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2023
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| author | Huang, Xu-Dong Gong, Bin Niu, Rui-Chang Yu, Huai-Min Wang, Jian-Xiong |
| author_facet | Huang, Xu-Dong Gong, Bin Niu, Rui-Chang Yu, Huai-Min Wang, Jian-Xiong |
| contents | In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process $e^+e^- \to J/ψ+J/ψ$ at the $B$ factories. By including the NNLO corrections, the cross section turns negative due to the poor convergence of perturbative expansion. Consequently, to obtain a reasonable estimation for the cross section, the square of the amplitude up to NNLO is used. In addition, the contributions from the bottom quark and the light-by-light part, which are usually neglected, are also included. The final cross section is obtained as $1.76^{+2.42}_{-1.66} ~{\rm fb}$ at a center-of-mass energy of $\sqrt{s}=10.58$ GeV. Our result for total cross section and differential cross section could be compared with precise experimental measurement in future at the $B$ factories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Next-to-next-to-leading-order QCD corrections to double $J/ψ$ production at the $B$ factories Huang, Xu-Dong Gong, Bin Niu, Rui-Chang Yu, Huai-Min Wang, Jian-Xiong High Energy Physics - Phenomenology In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process $e^+e^- \to J/ψ+J/ψ$ at the $B$ factories. By including the NNLO corrections, the cross section turns negative due to the poor convergence of perturbative expansion. Consequently, to obtain a reasonable estimation for the cross section, the square of the amplitude up to NNLO is used. In addition, the contributions from the bottom quark and the light-by-light part, which are usually neglected, are also included. The final cross section is obtained as $1.76^{+2.42}_{-1.66} ~{\rm fb}$ at a center-of-mass energy of $\sqrt{s}=10.58$ GeV. Our result for total cross section and differential cross section could be compared with precise experimental measurement in future at the $B$ factories. |
| title | Next-to-next-to-leading-order QCD corrections to double $J/ψ$ production at the $B$ factories |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.04751 |