Initial and Final State Interaction Effects in Small-x Quark Distributions

Abstract

We study the initial and final state interaction effects in the transverse momentum dependent parton distributions in the small-$x$ saturation region. In particular, we discuss the quark distributions in the semi-inclusive deep inelastic scattering, Drell-Yan lepton pair production and dijet-correlation processes in $pA$ collisions. We calculate the quark distributions in the scalar-QED model and then extend to the color glass condensate formalism in QCD. The quark distributions are found universal between the DIS and Drell-Yan processes. On the other hand, the quark distribution from the $q{q}^{\prime }\to q{q}^{\prime }$ channel contribution to the dijet-correlation process is not universal. However, we find that it can be related to the quark distribution in DIS process by a convolution with the normalized unintegrated gluon distribution in the color glass condensate formalism in the large $N_c$ limit.

20 pages, 6 figures

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Cited by in corpus (15)

• Universality of Unintegrated Gluon Distributions at small x
• TMD Parton Distribution and Fragmentation Functions with QCD Evolution
• kt-factorization for Hard Processes in Nuclei
• Implementing the exact kinematical constraint in the saturation formalism
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• On the process dependent nuclear $k_{\perp }$ broadening effect
• Operator analysis of $p_T$-widths of TMDs
• The Search for Gluon Saturation in pA Collisions