Asymptotics and preasymptotics at small x

G. P. Salam (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

This talk discusses the relative impact of running-coupling and other higher-order corrections on the small-x gluon-gluon splitting function. Comments are made on similarities with some aspects of the Balitsky-Kovchegov equation, which arise because of the presence of an effective infrared cutoff in both cases. It is emphasised that, at least in the splitting-function case, the asymptotic small-x behaviour has little relevance to the phenomenologically interesting preasymptotic region. This is illustrated with the aid of a convolution of the resummed splitting function with a toy gluon distribution.

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

G. P. Salam. Asymptotics and preasymptotics at small x. INFN Eloisatron Project 44th Workshop on QCD at Cosmic Energies: The Highest Energy Cosmic Rays and QCD, Erice, Italy, 29 Aug - 5 Sep 2004., 2005, Italy. ⟨hal-00009108⟩