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Within the framework of a high-twist approach, we calculate thenext-to-leading order (NLO) perturbative QCD corrections to the transversemomentum broadening in semi-inclusive hadron production in deeply inelastic$e+A$ collisions, as well as lepton pair production in $p+A$ collisions. Withexplicit calculations of both real and virtual contributions, we verify, forthe first time, the factorization theorem at twist 4 in NLO for thenuclear-enhanced transverse momentum weighted differential cross section anddemonstrate the universality of the associated twist-4 quark-gluon correlationfunction. We also identify the QCD evolution equation for the twist-4quark-gluon correlation function in a large nucleus, which can be solved todetermine the scale dependence of the jet transport parameter in the study ofjet quenching.

Next-to-Leading QCD Factorization for Semi-Inclusive Deep Inelastic Scattering at Twist-4