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We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD)corrections to $\gamma+\gamma\to \eta_c+c+\bar{c}$, $\gamma+\gamma\to\eta_b+b+\bar{b}$ and $\gamma+\gamma\to B_c+b+\bar{c}$ processes in theframework of non-relativistic QCD (NRQCD) factorization formalism. The crosssections at the SuperKEKB electron-positron collider, as well as the futurecollider like the Circular Electron Positron Collider (CEPC), are evaluated.Numerical results indicate that the NLO corrections are significant, and theuncertainties in theoretical predictions with NLO corrections are reduced asexpected. Due to the high luminosity of the SuperKEKB collider, the$\eta_c+c+\bar{c}$ production is hopefully observable in the near future.

NLO QCD corrections to pseudoscalar quarkonium production with two heavy flavors in photon-photon collision