Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data

Abstract

The Impact-Parameter dependent Color Glass Condensate (b-CGC) dipole model is based on the Balitsky-Kovchegov non-linear evolution equation and improves the Iancu-Itakura-Munier dipole model by incorporating the impact-parameter dependence of the saturation scale. Here we confront the model to the recently released high precision combined HERA data and obtain its parameters. The b-CGC results are then compared to data at small-x for the structure function, the longitudinal structure function, the charm structure function, exclusive vector meson (J/ψ, ϕ, ρ) production and Deeply Virtual Compton Scattering (DVCS). We also compare our results with the Impact-Parameter dependent Saturation model (IP-Sat). We show that most features of inclusive DIS and exclusive diffractive data, including the Q^2, W, |t| and x dependence are correctly reproduced in both models. Nevertheless, the b-CGC and the IP-Sat models give different predictions beyond the current HERA kinematics, namely for the structure functions at very low x and high virtualities Q^2, and for the exclusive diffractive vector meson and DVCS production at high t. This can be traced back to the different power-law behavior of the saturation scale in x, and to a different impact-parameter b dependence of the saturation scale in these models. Nevertheless, both models give approximately similar saturation scale Q_S<1 GeV for the proton in HERA kinematics, and also both models lead to the same conclusion that the typical impact-parameter probed in the total γ^{*}p cross-section is about b\approx 2÷3 GeV^{-1}. Our results provide a benchmark for further investigation of QCD at small-x in heavy ion collisions at RHIC and the LHC and also at future experiments such as an Electron-Ion Collider and the LHeC.

21 pages, 31 figures; v3: results unchanged, more comparison with HERA data added, one plot and references added. The version to appear in PRD

References in corpus (37)

• The Color Glass Condensate
• The Pomeron and Gauge/String Duality
• Universality of Unintegrated Gluon Distributions at small x
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Event-by-event gluon multiplicity, energy density and eccentricities at RHIC and LHC
• Triumvirate of Running Couplings in Small-x Evolution
• Analysis of combined HERA data in the Impact-Parameter dependent Saturation model
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Impact parameter dependent colour glass condensate dipole model
• J/Psi production in ultraperipheral Pb+Pb and p+Pb collisions at energies available at the CERN Large Hadron Collider
• Saturation QCD predictions with heavy quarks at HERA
• Nuclear enhancement and suppression of diffractive structure functions at high energies
• Photon impact factor in the next-to-leading order
• CGC predictions for p+A collisions at the LHC and signature of QCD saturation
• Gluon saturation and inclusive hadron production at LHC
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• NLO evolution of color dipoles in N=4 SYM
• On the running coupling in the JIMWLK equation
• String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$
• Hadron multiplicity in pp and AA collisions at LHC from the Color Glass Condensate
• Gluon saturation and energy dependence of hadron multiplicity in pp and AA collisions at the LHC
• Geometric scaling in diffractive deep inelastic scattering
• Exclusive photoproduction at the Tevatron and LHC within the dipole picture
• Universality of multi-particle production in QCD at high energies
• One gluon, two gluon: multigluon production via high energy evolution
• DIS on a Large Nucleus in AdS/CFT
• Azimuthal anisotropy of direct photons
• pT-Broadening and production processes versus dipole/quadrupole amplitudes at next-to-leading order
• Deep inelastic structure functions from supergravity at small x
• Azimuthal Asymmetry of pions in pp and pA collisions
• Vector meson production at low x from gauge/gravity duality
• Azimuthal Asymmetry of Prompt Photons in Nuclear Collisions
• Direct photons at forward rapidities in high-energy pp collisions
• Exclusive vector meson production in electron-ion collisions
• Testing the Gaussian Approximation to the JIMWLK Equation
• DVCS via color dipoles: Nonperturbative effects

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