Prompt production of $J/\psi$ in the soft gluon resummation approach using the ICEM

TL;DR

This paper models prompt $J/$ production at small transverse momentum using TMD factorization, soft gluon resummation, and the ICEM, combining fixed-order and TMD calculations for accurate spectra predictions across energies.

Contribution

It introduces a combined approach using TMD factorization, soft gluon resummation, and ICEM with matching techniques for $J/$ production spectra.

Findings

Good agreement with experimental data across energies

Predictions for NICA experiment provided

Comparison with NRQCD results included

Abstract

In the article, we study prompt $J/\psi$ production at small transverse momentum within the Transverse Momentum Dependent (TMD) factorization. The Soft Gluon Resummation (SGR) approach is used for modelling of TMD PDFs. The hadronization process of heavy charm quarks is described with the Improved Color Evaporation model (ICEM). In order to obtain spectra of $J/\psi$ at the arbitrary transverse momenta, fixed-order calculations within the collinear parton model (CPM) are also applied and further matched with the TMD calculations using the Inverse-Error Weighting (InEW) scheme. We present results of calculations for a wide range of collision energy with the fitting of the relevant nonperturbative parameter of the ICEM. Predictions for the SPD NICA experiment are also provided alongside comparison with the result of calculation using nonrelativistic QCD (NRQCD) framework.