Geometric scaling and QCD evolution

Details Geometric scaling and QCD evolution Geometric scaling and QCD evolution

2002-03-04

arxiv.org/abs/hep-ph/0203030v2

Phys.Rev. D66 (2002) 014013

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 8 figures, new figures with illustration of the geometric scaling, additional references added

Scientific paper

10.1103/PhysRevD.66.014013

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 Q^2=Q_s^2(x) where Q_s^2(x) = Q_0^2 x^{-\lambda}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 \lambda and in the double logarithmic approximation of the DGLAP evolution this happens for \lambda > 4N_c\alpha_s/\pi. 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.

Affiliated with

Also associated with

No associations

Rating

Geometric scaling and QCD evolution does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric scaling and QCD evolution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric scaling and QCD evolution will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335440