Quantitative analysis of Geometrical Scaling in Deep Inelastic Scattering

Abstract

We analyze geometrical scaling in deep inelastic scattering using experimental data from HERA ep collider. Parallel analyses are performed for energy and Bjorken-x data binnings. In particular, value of parameter λwhich governs x-dependence of saturation scale is found for both binnings: λ_En = 0.352 \pm 0.008 and λ_Bj = 0.302 \pm 0.004. We use the following method: λ_En is found as a value for which ratios σ^{W1}_{γ*p}(τ)/σ^{W2}_{γ*p}(τ) are closest to 1 (σ^{Wi}_{γ*p} is a photon-proton cross section with definite energy W_i and τ= Q^2 x^λ is a scaling variable); λ_Bj is found analogously using ratios of cross sections with definite Bjorken-x variable. We show also that GS is present for x<0.2.

Master Thesis prepared in the Institute of Physics of the Jagiellonian University; 76 pages, 116 figures