Beyond DGLAP improved saturation model

Abstract

We present a modification of the DGLAP improved saturation model with respect to the nonlinear correction (NLC). The GLR-MQ improved saturation model is considered by employing the parametrization of proton structure function due to the Laplace transforms method, which preserves its behavior success in the low and high $Q^2$ regions. We show that the geometric scaling holds for the GLR-MQ improved model in a wide kinematic region $r{Q}_s$. These results are comparable with other models in a wide kinematic region $r{Q}_s$. The behavior of the dipole cross sections, with respect to the GLR-MQ improved saturation model, are comparable with the Color Glass Condensate (CGC) model. The model describes the dipole cross sections in the inclusive and diffractive processes. We also compare the nonlinear corrections to the impact-parameter dependent saturation (IP-Sat) model with the impact-parameter dependent color glass condensate (b-CGC) dipole model. Finally, we consider the linear and nonlinear corrections to the IP Non-Sat model. These results provide a benchmark for further investigation of QCD at small $x$ in future experiments such as the Large Hadron Collider and Future Circular Collider projects.

arXiv commentWill be appear in Eur.Phys.J.C

References in corpus (26)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Renormalization Group Equation for the Color Glass Condensate
• 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
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Impact parameter dependent colour glass condensate dipole model
• Nuclear enhancement of universal dynamics of high parton densities
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Saturation model of DIS : an update
• Gluon Saturation in the Colour Dipole Model?
• Analytic derivation of the leading-order gluon distribution function G(x,Q^2) = xg(x,Q^2) from the proton structure function F_2^p(x,Q^2)
• Investigating saturation effects in ultraperipheral collisions at the LHC with the color dipole model
• Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering
• Heavy flavour production in DGLAP improved saturation model
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Quenching of Leading Jets and Particles: the p_t Dependent Landau-Pomeranchuk-Migdal effect from Nonlinear k_t Factorization
• Saturation and geometric scaling in DIS at small x
• Absorptive effects and power corrections in low $x$ DGLAP evolution
• Color dipole cross section and inelastic structure function
• Nonlinear corrections on the parameterization methods
• Color dipole cross section in the DGLAP improved saturation model
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach

Cited by in corpus (4)

• The unintegrated gluon distribution from the GBW and BGK models
• The dipole cross section by the unintegrated gluon distribution at small $x$
• The improved saturation model in nuclei
• Evolution of the color dipole cross section