New Scaling at High Energy DIS

Abstract

We develop a new approach for solving the non-linear evolution equation in the low $x_B$ region and show that the remarkable "geometric" scaling of its solution holds not only in the saturation region, but in much wider kinematical region. This is in a full agreement with experimental data (Golec-Biernat, Kwiecinski and Stasto).

13 pages, 8 eps figures

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• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
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• Solution to the evolution equation for high parton density QCD
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• QCD evolution of the gluon density in a nucleus
• Diffractive Structure Function in a Quasi-Classical Approximation
• Parton Densities in a Nucleon
• Diffractive Leptoproduction of Small Masses in QCD
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Cited by in corpus (120)

• New Forms of QCD Matter Discovered at RHIC
• The Color Glass Condensate
• Geometric Scaling above the Saturation Scale
• Inclusive Gluon Production in DIS at High Parton Density
• Parton saturation and N_part scaling of semi--hard processes in QCD
• Color Glass Condensate at the LHC: hadron multiplicities in $pp$, $pA$ and $AA$ collisions
• Traveling wave fronts and the transition to saturation
• Nuclear Modification Factor in d+Au Collisions: Onset of Suppression in the Color Glass Condensate
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• QCD Saturation and Deuteron-Nucleus Collisions
• 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
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• Nonlinear evolution in high-density QCD
• Geometric scaling violations in the central rapidity region of d+Au collisions at RHIC
• Large mass Q-Qbar production from the Color Glass Condensate
• Froissart Bound from Gluon Saturation
• Non linear gluon evolution in path-integral form
• Jet Azimuthal Correlations and Parton Saturation in the Color Glass Condensate
• 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
• Baryon Stopping and the Valence Quark Distribution at Small x
• Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
• Open charm production in heavy ion collisions and the Color Glass Condensate
• Heavy quark production by a quasi-classical color field in proton-nucleus collisions
• Limiting fragmentation in hadron-hadron collisions at high energies
• One gluon, two gluon: multigluon production via high energy evolution
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• Small x nonlinear evolution with impact parameter and the structure function data
• Summing Pomeron loops in the dipole approach
• Geometric Scaling at RHIC and LHC
• Elliptic Flow from Minijet Production in Heavy Ion Collisions
• Geometric scaling and QCD evolution
• Geometric Scaling in Inclusive Charm Production
• Treading on the cut: Semi inclusive observables at high energy
• A QCD dipole formalism for forward-gluon production
• Parton densities and saturation scale from non-linear evolution in DIS on nuclei
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Glauber - Gribov approach for DIS on nuclei in N=4 SYM
• Non-linear evolution and high energy diffractive production
• Hadrons and direct photon in pp and pA collisions at LHC and saturation effects
• The Balitsky-Kovchegov equation in full momentum space
• High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• Quantum chromodynamics at high energy and statistical physics
• Single transverse-spin asymmetries in forward pion production at high energy: incorporating small-x effects in the target
• The Iancu-Mueller factorization and high energy asymptotic behaviour
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• QCD Saturation in the Semi-classical Approach
• Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
• Hard probes in heavy ion collisions at the LHC: PDFs, shadowing and $pA$ collisions
• Forward hadron production in high energy pA collisions: from RHIC to LHC
• Conformal invariant saturation
• Direct photons at forward rapidities in high-energy pp collisions
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Exclusive $\rho$ and $J/\Psi$ photoproduction in ultraperipheral $pA$ collisions: Predictions of the gluon saturation models for the momentum transfer distributions
• A modified Balitsky-Kovchegov equation
• Dynamics of QCD Matter -- current status
• The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Saturation at Hadron Colliders
• The BFKL Pomeron Calculus in the dipole approach
• CGC/saturation approach: a new impact-parameter dependent model
• Saturation and geometric scaling in DIS at small x
• Non-linear equation: energy conservation and impact parameter dependence
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• QCD Odderon: non linear evolution in the leading twist
• Universal geometrical scaling for hadronic interactions
• Heavy quarkonia production at LHC and EIC using Basis Light-Front Quantization wavefunctions
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• Unitarity bound for gluon shadowing
• BFKL Pomeron: modeling confinement
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• Saturation and forward jets at HERA
• Solution of the Fan Diagram Equation in 2+1 Dimensional QCD
• Solution to the Balitsky-Kovchegov equation in the saturation domain
• Small-$x$ evolution of jet quenching parameter
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Unintegrated dipole gluon distribution at small transverse momentum
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
• The small-x gluon distribution in centrality biased pA and pp collisions
• Rare fluctuations of the $S$-matrix at NLO in QCD
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
• The Colour Glass Condensate
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Gluon multiplicity in coherent diffraction of onium on a heavy nucleus
• QCD traveling waves phenomenology revisited
• Gluon recombination in high parton density QCD: inclusive pion production
• Spectrum of diffractively produced gluons in onium-nucleus collisions
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
• Heavy quark production from Color Glass Condensate at RHIC
• Dipole-dipole scattering amplitude in CGC approach
• Proton and anti-proton production in the forward region of d+Au collisions at RHIC from the color glass condensate
• The BMS Equation and c\bar{c} Production; A Comparison of the BMS and BK Equations
• Exclusive heavy quark photoproduction in $pp$, $pPb$ and $PbPb$ collisions at the LHC and FCC energies
• Energy evolution of J/$\psi$ production in DIS on nuclei
• BFKL ansatz for BK equation in conformal basis
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• On the Nuclear Modification Factor at RHIC and LHC
• Single inclusive jet photoproduction at very forward rapidities in $pp$ and $pPb$ collisions at the LHC
• Gluon saturation: survival probability for leading neutrons in DIS
• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
• On the solution of linearized (linear in S-matrix) Balitsky-Kovchegov equation
• Soft processes at high energy without soft Pomeron: a QCD motivated model
• Twist decomposition of non-linear effects in Balitsky-Kovchegov evolution of proton structure functions
• Modified homotopy approach for diffractive production in the saturation region
• Homotopy approach for scattering amplitude for running QCD coupling
• Recent results on saturation and CGC
• Charmonium spectrum and diffractive production in a light-front Hamiltonian approach
• Violation of geometric scaling in DIS due to Coulomb corrections
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Multiplicity distributions in DIS for heavy nucleus