# Proof of Factorization of $\chi_{cJ}$ Production in Non-Equilibrium QCD at RHIC and LHC in Color Singlet Mechanism

## TL;DR

This paper proves the all-order factorization of infrared divergences in $oldsymbol{ ext{chi}_{cJ}}$ production from color singlet $oldsymbol{car{c}}$ pairs in non-equilibrium QCD, aiding quark-gluon plasma studies at RHIC and LHC.

## Contribution

It extends previous work to establish all-order factorization of infrared divergences in $ ext{chi}_{cJ}$ production in non-equilibrium QCD, relevant for heavy-ion collision analysis.

## Key findings

- Proved all-order factorization of infrared divergences.
- Applicable to quark-gluon plasma research at RHIC and LHC.
- Enhances theoretical understanding of heavy quarkonium production.

## Abstract

Recently we have proved the factorization of NRQCD S-wave heavy quarkonium production at all orders in coupling constant. In this paper we extend this to prove the factorization of infrared divergences in $\chi_{cJ}$ production from color singlet $c{\bar c}$ pair in non-equilibrium QCD at RHIC and LHC at all orders in coupling constant. This can be relevant to study the quark-gluon plasma at RHIC and LHC.