Small x nonlinear evolution with impact parameter and the structure function data

Abstract

The nonlinear Balitsky-Kovchegov equation at small x is solved numerically, incorporating impact parameter dependence. Confinement is modeled by including effective gluon mass in the dipole evolution kernel, which regulates the splitting of dipoles with large sizes. It is shown, that the solution is sensitive to different implementations of the mass in the kernel. In addition, running coupling effects are taken into account in this analysis. Finally, a comparison of the calculations using the dipole framework with the inclusive data from HERA on the structure functions F2 and FL is performed.

19 pages, 11 figures. Minor revision. One reference added, two figures updated

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Cited by in corpus (53)

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• Color Glass Condensate at next-to-leading order meets HERA data
• Confronting impact parameter dependent JIMWLK evolution with HERA data
• The shape of the proton at high energies
• Diffractive Dijet Production in Deep Inelastic Scattering and Photon-Hadron Collisions in the Color Glass Condensate
• In depth analysis of the combined HERA data in the dipole models with and without saturation
• Review of proton and nuclear shape fluctuations at high energy
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• Elliptic flow from color-dipole orientation in pp and pA collisions
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• Hadron production in pA collisions at the LHC from the Color Glass Condensate
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• Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution
• Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence
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• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Charged particle multiplicities in pA interactions at the LHC from the Color Glass Condensate
• Saturation and forward jets in proton-lead collisions at the LHC
• Photon-jet ridge at RHIC and the LHC
• BFKL Pomeron with massive gluons
• Testing the Gaussian Approximation to the JIMWLK Equation
• Saturation in inclusive production beyond leading logarithm accuracy
• High-energy dipole scattering amplitude from evolution of low-energy proton light-cone wave functions
• Deeply virtual Compton scattering at small-$x$ in future Electron - Ion Colliders
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• Nuclear effects in Drell-Yan pair production in high-energy $pA$ collisions
• Predictions for nuclear structure functions from the impact-parameter dependent Balitsky-Kovchegov equation
• BFKL Pomeron: modeling confinement
• Testing the running coupling $k_T$-factorization formula for the inclusive gluon production
• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• Inclusive hadron and photon production at LHC in dipole momentum space
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
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• BFKL equation in the next-to-leading order: solution at large impact parameters
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Probing proton structure with $c\bar{c}$ correlations in ultraperipheral $pA$ collisions
• Structure functions from renormalization group improved small $x$ evolution
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Inclusive gauge boson production in the color dipole formalism
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• Rapidity dependence of saturation in inclusive HERA data with the rcBK equation
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• High energy evolution for Gribov-Zwanziger confinement: solution to the equation
• Signatures of gluon saturation from structure-function measurements
• Probing nuclear structure with the Balitsky-Kovchegov equation in full impact-parameter dependence
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem