One-to-One correspondence of soft and hard Pomeron with the CDP of the gluon density at low $x$

Abstract

The correspondence between the gluon density behavior of the color dipole picture and the two-Pomeron approach at low $x$ deep inelastic scattering is considered. For photon virtualities of $Q^2\gtrsim 10{\mathrm{GeV}}^2$, the results for the parametrization and CDP models are defined by the CDP asymptotic limit and are compatible with the soft and hard-Pomeron approach. These results show that the hard-Pomeron trajectory does not guarantee converging towards the asymptotic representation at low and large $Q^2$ ($Q^2\lesssim 100{\mathrm{GeV}}^2$) values in a wide range of the virtual-photon-proton energy squared. The gluon distributions can be obtained directly in terms of the proton structure functions and the running coupling and compared with the results from the GJR and MSTW parametrizations.

will be appear in JETP Letters

References in corpus (10)

• Parton distributions for the LHC
• Dynamical parton distributions of the nucleon and very small-x physics
• Investigating saturation effects in ultraperipheral collisions at the LHC with the color dipole model
• On the Range of Validity of the Dipole Picture
• Matching-invariant running quark masses in Quantum Chromodynamics
• Color Dipole Picture of Deep Inelastic Scattering, Revisited
• The color dipole model bounds with the gluon-gluon recombination correction
• Color-Dipole Picture versus Hard Pomeron in Deep Inelastic Scattering
• Soft diffraction within the QCD color dipole picture
• Physical limits in the Color Dipole Model Bounds