Proof of Factorization of $J/\Psi$ Production in Non-Equilibrium QCD at RHIC and LHC

TL;DR

This paper proves the factorization theorem for $J/ar{psi}$ production in non-equilibrium QCD at RHIC and LHC, ensuring finite cross-section predictions for heavy-ion collision experiments.

Contribution

It provides a rigorous proof of the factorization theorem for $J/ar{psi}$ production in non-equilibrium QCD at all orders, a key step for accurate theoretical predictions.

Findings

Proved factorization theorem at all orders in coupling constant.

Ensured finite cross-section predictions for $J/ar{psi}$ production.

Applicable to high-energy heavy-ion collisions at RHIC and LHC.

Abstract

$J/\psi$ suppression/production is one of the main signature of quark-gluon plasma detection at RHIC and LHC. In order to study $j/\psi$ suppression/production in high energy heavy-ion collisions at RHIC and LHC, one needs to prove the factorization theorem of $j/\psi$ production in non-equilibrium QCD medium, otherwise one will predict infinite cross section of $j/\psi$. In this paper we prove factorization theorem of $j/\psi$ production in non-equilibrium QCD at RHIC and LHC at all order in coupling constant.