NLO corrections to $J\mathrm{/}\psi +c+\bar{c}$ photoproduction

Based on the factorization framework of nonrelativistic quantum chromodynamics, we study the associated $J\mathrm{/}\psi +c+\bar{c}$ photoproduction process at next-to-leading order in ${\alpha }_s$ and leading order in the velocity expansion. The total cross section and differential cross section in $p_T^2$, $W$ and $z$ are presented. The results indicate that the next-to-leading order corrections are substantial, and testable in experiment.