Color dipole cross-section from unifying the color dipole picture and improved saturation models

Abstract

We present an analysis of the color-dipole picture (CDP) for determination of the gluon density at low-$x$ which is obtained from the Altarelli-Martinelli equation by expansion at distinct points of expansion. The dipole cross-sections with respect to the improved saturation model of Bartels-Golec-Biernat-Kowalski (BGK) are obtained in a wide range of transverse sizes $r$ and compared with the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) model. We find that the model gives a good description of the dipole cross-section at large $r$ which confirms saturation and matches the perturbative QCD result at a small $r$ due to the significant role of the running of the gluon distribution. The transition between these regions occurs with decreasing transverse sizes with a decrease of Bjorken $x$ and dependence on the expansion point.

References in corpus (34)

• Parton distributions for the LHC Run II
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• Saturation in Diffractive Deep Inelastic Scattering
• An Impact Parameter Dipole Saturation Model
• Saturation and BFKL dynamics in the HERA data at small x
• A Modification of the Saturation Model: DGLAP evolution
• The Large Hadron-Electron Collider at the HL-LHC
• The Longitudinal Structure Function at the Third Order
• Global parton distributions with nuclear and finite-Q^2 corrections
• Unintegrated gluon distribution from modified BK equation
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Saturation model of DIS : an update
• The generalized vector dominance/colour-dipole picture of deep-inelastic scattering at low x
• Low-x scaling in ${\gamma }^{\ast }p$ total cross sections
• Gluon distributions in the proton in a light-front spectator model
• Deep inelastic Scattering, QCD, and generalised vector dominance
• Gluon Sivers function in a light-cone spectator model
• Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model
• Analysis of Low-$x$ Gluon Density from the $F_2$ Scaling Violations
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Deep inelastic scattering at low x: Generalized vector dominance and the color dipole picture
• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• Saturation and geometric scaling in DIS at small x
• A journey into the proton structure: Progresses and challenges
• Color Dipole Picture of Deep Inelastic Scattering, Revisited
• Color dipole cross section and inelastic structure function
• Higher order approximations to the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
• Color-Dipole Picture versus Hard Pomeron in Deep Inelastic Scattering

Cited by in corpus (1)

• Longitudinal Structure Function at the Limit $x=Q^2/s$