Large geometric scaling and QCD evolution

J. Kwieciński, Anna Stasto

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations

Abstract

We study the impact of the QCD DGLAP evolution on the geometric scaling of the gluon distributions which is expected to hold at small x within the saturation models. To this aim we solve the DGLAP evolution equations with the initial conditions provided along the critical line Q2 = Qs2(x) with Qs2(x) ∼ x and satisfying geometric scaling. Both fixed and running coupling cases are studied. We show that in the fixed coupling case the geometric scaling at low x is stable against the DGLAP evolution for sufficiently large values of the parameter λ and in the double logarithmic approximation of the DGLAP evolution this happens for λ ≥ 4Ncαs/π. In the running coupling case geometric scaling is found to be approximately preserved at very small x. The residual geometric scaling violation in this case can be approximately factored out and the corresponding form-factor controlling this violation is found.

Original languageEnglish (US)
Pages (from-to)3439-3443
Number of pages5
JournalActa Physica Polonica B
Volume33 II
Issue number11
StatePublished - Nov 1 2002
EventX International Workshop on Deep Inelastic Scattering (DIS 2002) - Cracow, Poland
Duration: Apr 30 2002May 4 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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