Abstract
In this paper, we study the next-to-next-to-leading-order (NNLO) QCD corrections for the process e+e− → 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 \( {1.76}_{-1.66}^{+2.42} \) 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.
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Acknowledgments
We would like to thank Yan-Qing Ma for helpful suggestions and Jichen Pan for useful discussions. This work was supported by the National Natural Science Foundation of China with Grant Nos. 12247129, 11975242, and 12135013. It was also supported in part by National Key Research and Development Program of China under Contract No. 2020YFA0406400.
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Huang, XD., Gong, B., Niu, RC. et al. Next-to-next-to-leading-order QCD corrections to double J/ψ production at the B factories. J. High Energ. Phys. 2024, 55 (2024). https://doi.org/10.1007/JHEP02(2024)055
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DOI: https://doi.org/10.1007/JHEP02(2024)055