Scaling phenomena from non-linear evolution in high energy DIS

Abstract

The numerical solutions of the non-linear evolution equation are shown to display the ``geometric'' scaling recently discovered in the experimental data. The phenomena hold both for proton and nucleus targets for all $x$ below $10^{-2}$ and $0.25\mathrm{Ge}{\mathrm{V}}^2\le Q^2\le 2.5\times 10^3\mathrm{Ge}{\mathrm{V}}^2$. The scaling is practically exact (few percent error) in the saturation region. In addition, an approximate scaling is found in the validity domain of the linear evolution where it holds with about 10% accuracy. Basing on the scaling phenomena we determine the saturation scale $Q_s(x)$ and study both its $x$-dependence and the atomic number dependence for the nuclei.

13 pages, 20 figures

Cited by in corpus (62)

• The Color Glass Condensate
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Geometric Scaling above the Saturation Scale
• Triumvirate of Running Couplings in Small-x Evolution
• Nuclear shadowing
• Relating high-energy lepton-hadron, proton-nucleus and nucleus-nucleus collisions through geometric scaling
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Universal features of JIMWLK and BK evolution at small x
• Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• Odderon in the Color Glass Condensate
• A Langevin equation for high energy evolution with pomeron loops
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Extension of the JIMWLK Equation in the Low Gluon Density Region
• Quark pair production in high energy pA collisions: General features
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Towards a symmetric approach to high energy evolution: generating functional with Pomeron loops
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• Froissart Bound from Gluon Saturation
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
• A Gaussian effective theory for gluon saturation
• Balitsky's hierarchy from Mueller's dipole model and more about target correlations
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
• Saturation physics at HERA and RHIC: An unified description
• High-enegy effective action from scattering of QCD shock waves
• Limiting fragmentation in hadron-hadron collisions at high energies
• Small x nonlinear evolution with impact parameter and the structure function data
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Summing Pomeron loops in the dipole approach
• Elliptic Flow from Minijet Production in Heavy Ion Collisions
• Scattering of shock waves in QCD
• Geometric scaling and QCD evolution
• The high energy asymptotics of scattering processes in QCD
• Geometric Scaling in Inclusive Charm Production
• Treading on the cut: Semi inclusive observables at high energy
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Semi-inclusive photon-hadron production in pp and pA collisions at RHIC and LHC
• Production of Forward Rapidity Photons in High Energy Heavy Ion Collisions
• Non-linear evolution and high energy diffractive production
• Could saturation effects be visible in a future electron-ion collider?
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• QCD Saturation in the Semi-classical Approach
• A modified Balitsky-Kovchegov equation
• Dipole-dipole scattering in CGC/saturation approach at high energy: summing Pomeron loops
• Pomeron fan diagrams with an infrared cutoff and running coupling
• The BFKL Pomeron Calculus in the dipole approach
• Saturation and geometric scaling in DIS at small x
• O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
• Geometric scaling in exclusive processes
• On correlations and discreteness in non-linear QCD evolution
• BFKL Pomeron: modeling confinement
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Infrared instability from nonlinear QCD evolution
• From Classical to Quantum Saturation in the Nuclear Gluon Distribution