Matching Collinear and Small-x Factorization Calculations for Inclusive Hadron Production in pA Collisions

Abstract

We construct a theoretical framework to match the formulas for forward inclusive hadron productions in pA collisions in the small-x saturation formalism and collinear factorization. The small-x calculation can be viewed as a power series in $Q_s^2/k_{\perp }^2$, in which the collinear factorization result corresponds to the leading term. At high transverse momentum, the subleading correction terms are insignficant, whereas at low $p_{\perp }$, the power corrections become important and the small-x resummation is essential to describe the differential cross section. We show that the familiar collinear factorization calculation can smoothly match the results from small-x factorization at next-to-leading order in ${\alpha }_s$ when we use exact kinematics, as opposed to the approximate kinematics in previous work. With this matching, we can describe the experimental data from RHIC very well at high $p_{\perp }$.

7 pages, 3 figures; extension of work first described in arXiv:1307.4057. v2 adds grant acknowledgment and brief mention of kinematical constraint

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