Systematic Analysis of Scaling Properties in Deep Inelastic Scattering

Understand

Using the ``Quality Factor'' (QF) method, we analyse the scaling properties of deep-inelastic processes at HERA and fixed target experiments for x<0.01.

• We look for scaling formulae of the form sigma(tau), where tau(log Q^2, Y) is a scaling variable suggested by the asymptotic properties of QCD evolution equations with rapidity Y.
• We consider four cases: ``Fixed Coupling'', corresponding to the original geometric scaling proposal and motivated by the asymptotic properties of the Balitsky-Kovchegov (BK) equation with fixed QCD coupling constant, two versions ``Running Coupling I,II'' of the scaling suggested by the BK equation with running coupling, and ``Diffusive Scaling'' suggested by the QCD evolution equation with Pomeron loops.
• The Quality Factors, quantifying the phenomenological validity of the candidate scaling variables, are fitted on the total and DVCS cross-section data from HERA and predictions are made for the elastic vector-meson and for the diffractive cross-sections at fixed small x_pom or beta.