Impact parameter dependent color glass condensate dipole model

Abstract

We show that the color glass condensate dipole model of Iancu, Itakura, and Munier, improved to include the impact parameter dependence, gives a good fit to the total ${\ensuremath{\gamma}}^{*}p$ cross section measured at HERA if the anomalous dimension at the saturation scale, ${\ensuremath{\gamma}}_{s}$, is treated as a free parameter. We find that the optimum value of ${\ensuremath{\gamma}}_{s}=0.46$ is close to the value determined from numerical solution of the Balitsky-Kovchegov equation. The impact parameter dependent saturation scale is generally less than $0.5\text{ }\text{ }{\mathrm{GeV}}^{2}$ in the HERA kinematic regime for the most relevant impact parameters $b\ensuremath{\sim}2--3\text{ }\text{ }{\mathrm{GeV}}^{\ensuremath{-}1}$. We compare predictions of the model to data on the longitudinal and heavy flavour structure functions, exclusive diffractive vector meson production, and deeply virtual Compton scattering at HERA. The model is found to be deficient for observables sensitive to moderately small dipole sizes, where an alternative model with explicit Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution performs better. The energy dependence of exclusive diffractive processes is shown to provide an important discriminator between different dipole model cross sections.