DIS and the effects of fluctuations: a momentum space analysis

Abstract

Among the dipole models of deep inelastic scattering at small values of the Bjorken variable $x$, one has been recently proposed which relates the virtual photon-proton cross section to the dipole-proton forward scattering amplitude in momentum space. The latter is parametrized by an expression which interpolates between its behavior at saturation and the travelling wave, ultraviolet, amplitudes predicted by perturbative QCD from the Balitsky-Kovchegov equation. Inspired by recent developments in coordinate space, we use this model to parametrize the proton structure function and confront it to HERA data on $ep$ deep inelastic scattering. Both event-by-event and the physical amplitudes are considered, the latter used to investigate the effect of gluon number fluctuations, beyond the mean-field approximation. We conclude that fluctuations are not present in DIS at HERA energies.

arXiv comment9 pages, 2 figures

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Cited by in corpus (6)

• Inclusive hadron and photon production at LHC in dipole momentum space
• QCD traveling waves phenomenology revisited
• Probing gluon number fluctuation effects in future electron-hadron colliders
• Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
• Effects of gluon number fluctuations on photon - photon collisions at high energies
• Momentum space saturation model for deep inelastic scattering and single inclusive hadron production