${\eta }_c^{\prime }$ Hadroproduction at Next-to-Leading Order and its Relevance to ${\psi }^{\prime }$ Production

Abstract

We proceed to the first study of ${\eta }_c^{\prime }$ 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 ${\eta }_c^{\prime }$ can be studied at the LHC with the existing data. We emphasize its relevance to constrain ${\psi }^{\prime }$ production, in the same way as the first prompt ${\eta }_c^{\prime }$ data at the LHC lately strongly impacted the phenomenology of $J/\psi$ studies.

Comments: 5 pages, 4 figures, uses RevTeX 4-1