Saturation and BFKL dynamics in the HERA data at small x

Details Saturation and BFKL dynamics in the HERA data at small x Saturation and BFKL dynamics in the HERA data at small x

2003-10-30

arxiv.org/abs/hep-ph/0310338v1

Phys.Lett.B590:199-208,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 3 figures, 3 tables

Scientific paper

10.1016/j.physletb.2004.02.040

We show that the HERA data for the inclusive structure function F_2(x,Q^2) for x < 0.01 and 0.045 < Q^2 < 45 GeV^2 can be well described within the color dipole picture, with a simple analytic expression for the dipole-proton scattering amplitude, which is an approximate solution to the non-linear evolution equations in QCD. For dipole sizes less than the inverse saturation momentum 1/Q_s(x), the scattering amplitude is the solution to the BFKL equation in the vicinity of the saturation line. It exhibits geometric scaling and scaling violations by the diffusion term. For dipole sizes larger than 1/Q_s(x), the scattering amplitude saturates to one. The fit involves three parameters: the proton radius R, the value x_0 of x at which the saturation scale Q_s equals 1GeV, and the logarithmic derivative of the saturation momentum \lambda. The value of \lambda extracted from the fit turns out to be consistent with a recent calculation using the next-to-leading order BFKL formalism.

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