Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-12-21
Nucl.Phys.A807:158-189,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
35 pages, 16 figures; v2: minor corrections, references and figures added
Scientific paper
10.1016/j.nuclphysa.2008.04.008
We analyze the structure of running coupling corrections to the gluon production cross section in the projectile-nucleus collisions calculated in the Color Glass Condensate (CGC) framework. We argue that for the gluon production cross section (and for gluon transverse momentum spectra and multiplicity) the inclusion of running coupling corrections brings in collinear singularities due to final state splittings completely unaffected by CGC resummations. Hence, despite the saturation/CGC dynamics, the gluon production cross section is not infrared-safe. As usual, regularizing the singularities requires an infrared cutoff Lambda_coll that defines a resolution scale for gluons. We specifically show that the cutoff enters the gluon production cross section in the argument of the strong coupling constant alpha_s(Lambda_coll^2). We argue that for hadron production calculations one should be able to absorb the collinear divergence into a fragmentation function. The singular collinear terms in the gluon production cross section are shown not to contribute to the energy density of the produced matter, which is indeed an infrared-finite quantity.
Kovchegov Yuri V.
Weigert Heribert
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