Prompt hadroproduction of $η_c(1S,2S)$ in the $k_T$-factorization approach

Izabela Babiarz; Roman Pasechnik; Wolfgang Schäfer; Antoni Szczurek

Paper

Prompt hadroproduction of $η_c(1S,2S)$ in the $k_T$-factorization approach

Abstract

In this work, we present a thorough analysis of

quarkonia hadroproduction in

-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for the

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

for several models of the unintegrated gluon distributions. Our calculations are performed for four distinct parameterisations for the

interaction potential consistent with the meson spectra. We compare our results for

to measurements by the LHCb collaboration and present predictions for

production.