Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-20
Nucl.Phys.B621:359-387,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, 8 figures, plain TeX with harvmac
Scientific paper
10.1016/S0550-3213(01)00563-6
We discuss the inclusion of running coupling effects in perturbative small x evolution equations. We show that a running coupling BFKL-like x-evolution equation is fully compatible, up to higher twist corrections, with the standard factorized perturbative evolution of parton distributions. We then use this result, combined with the well-known Airy asymptotics, to prove that the oscillations which are present in the running-coupling BFKL solution do not affect the associated splitting functions, which instead remain smooth in the small x limit. This allows us to give a prescription to include running-coupling corrections in the small-x resummation of scaling violations. We show that these corrections are small in the HERA region.
Altarelli Guido
Ball Richard D.
Forte Stefano
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