$\eta_c'$ Hadroproduction at Next-to-Leading Order and its Relevance to $\psi'$ Production

We proceed to the first study of $\eta_c'$ prompt hadroproduction at next-to-leading order in $\alpha_s$. Based on heavy-quark-spin symmetry, which is systematically used in quarkonium-production phenomenology, we demonstrate that prompt $\eta_c'$ can be studied at the LHC with the existing data. We emphasize its relevance to constrain $\psi'$ production, in the same way as the first prompt $\eta_c'$ data at the LHC lately strongly impacted the phenomenology of $J/\psi$ studies.