One-loop Factorization for Inclusive Hadron Production in $pA$ Collisions in the Saturation Formalism

Details One-loop Factorization for Inclusive Hadron Production in $pA$ Collisions in the Saturation Formalism One-loop Factorization for Inclusive Hadron Production in $pA$ Collisions in the Saturation Formalism

2011-12-05

arxiv.org/abs/1112.1061v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 1 figure

Scientific paper

We demonstrate the QCD factorization for inclusive hadron production in $pA$ collisions in the saturation formalism at one-loop order, with explicit calculation of both real and virtual gluon radiation diagrams. The collinear divergences associated with the incoming parton distribution of the nucleon and the outgoing fragmentation function of the final state hadron, as well as the rapidity divergence with small-$x$ dipole gluon distribution of the nucleus are factorized into the splittings of the associated parton distribution and fragmentation functions and the energy evolution of the dipole gluon distribution function. The hard coefficient function is evaluated at one-loop order, and contains no divergence.

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