We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) correction to the exclusive process $gamma+gammato J/psi+J/psi$ in the framework of non-relativistic QCD (NRQCD) factorization formalism. The cross sections at the SuperKEKB electron-positron collider, as well as at the future colliders, like the Circular Electron Positron Collider (CEPC) and the International Linear Collider (ILC), are evaluated. Numerical result indicates that the process will be hopefully to be seen by the Belle II detector within the next decade.
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