Proof of factorization of X(cJ) production in non-equilibrium QCD at RHIC and LHC in color singlet mechanism

Recently we have proved the factorization ofNRQCD S-wave heavy quarkonium production at all ordersin coupling constant. In this paper we extend this to provethe factorization of infrared divergences in X(cJ) productionfrom color singlet c c pair in non-equilibrium QCD at RHICand LHC at all orders in coupling constant. This can berelevant to study the quark–gluon plasma at RHIC and LHC.