Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections

Abstract

Within the framework of a (1+1)--dimensional model which mimics high energy QCD, we study the behavior of the cross sections for inclusive and diffractive deep inelastic ${\gamma }^{\ast }h$ scattering cross sections. We analyze the cases of both fixed and running coupling within the mean field approximation, in which the evolution of the scattering amplitude is described by the Balitsky-Kovchegov equation, and also through the pomeron loop equations, which include in the evolution the gluon number fluctuations. In the diffractive case, similarly to the inclusive one, the suppression of the diffusive scaling, as a consequence of the inclusion of the running of the coupling, is observed.

10 pages, 8 figures, submitted to Eur. Phy. J. C

References in corpus (16)

• The Color Glass Condensate
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Saturation QCD predictions with heavy quarks at HERA
• Particle multiplicities in Lead-Lead collisions at the LHC from non-linear evolution with running coupling
• Systematics of geometric scaling
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• On possible implications of gluon number fluctuations in DIS data
• Pomeron loop and running coupling effects in high energy QCD evolution
• On the probability distribution of the stochastic saturation scale in QCD
• A zero-dimensional model for high-energy scattering in QCD
• One-dimensional model for QCD at high energy
• Systematic Analysis of Scaling Properties in Deep Inelastic Scattering
• Travelling waves and impact-parameter correlations
• Geometric Scaling in Mueller-Navelet Jets
• DIS and the effects of fluctuations: a momentum space analysis
• Resummation of projectile-target multiple scatterings and parton saturation