Prompt hadroproduction of ${\eta }_c(1S,2S)$ in the $k_T$-factorization approach

Abstract

In this work, we present a thorough analysis of ${\eta }_c(1S,2S)$ quarkonia hadroproduction in $k_{\perp }$-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for the $g^{\ast }{g}^{\ast }{\eta }_c(1S,2S)$ vertices are derived. We discuss the importance of taking into account the gluon virtualities. %We discuss the role of relativistic corrections, the Melosh spin-rotation and theoretical uncertainties by comparing our results with the standard NRQCD approach. We present the transverse momentum distributions of ${\eta }_c$ for several models of the unintegrated gluon distributions. Our calculations are performed for four distinct parameterisations for the $c\bar{c}$ interaction potential consistent with the meson spectra. We compare our results for ${\eta }_c(1S)$ to measurements by the LHCb collaboration and present predictions for ${\eta }_c(2S)$ production.

arXiv comment17 pages, 12 figures

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• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Inclusive diffractive ${\eta }_{\mathrm{c}}$ production in pp, pA and AA modes at the LHC
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• Production of $S$-wave charmonia in the soft gluon resummation approach using the NRQCD
• Light-front approach to axial-vector quarkonium ${\gamma }^{\ast }{\gamma }^{\ast }$ form factors
• Inclusive production of heavy quarkonium ${\eta }_Q$ via $Z$ boson decays within the framework of nonrelativistic QCD
• A new parton fragmentation procedure for heavy hadron production in proton-proton collisions
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay