On the Determination of Small x Shadowing Corrections at HERA

Abstract

The recent $F_2$ data can be described using the DGLAP evolution equations with an appropriate choice of input distributions and the choice of the starting scale for the $Q^2$ evolution. We demonstrate in this paper that we cannot conclude that there are no significant shadowing corrections at HERA kinematic region using $F_2$ data only. In this paper we calculate the shadowing corrections to the longitudinal structure function $F_L(x,Q^2)$ and to the charm component of the proton structure function $F_2^c(x,Q^2)$ at HERA kinematic region using an eikonal approach. We demonstrate that the shadowing corrections to these observables are very large and that the charm production is strongly modified at small-$x$. Our results agree with the recent few H1 data.

19 pages, 7 figures

References in corpus (3)

• Parton Densities in a Nucleon
• The $F_2$ slope and shadowing corrections in DIS
• What Have We Learned About and From F_L(x,Q^2) at HERA?

Cited by in corpus (12)

• An approximate approach to the nonlinear DGLAP evaluation equation
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Shadowing correction to the gluon distribution behavior at small x
• NNLO solution of nonlinear GLR-MQ evolution equation to determine gluon distribution function using Regge like ansatz
• A phenomenological analysis of the longitudinal structure function at small $x$ and low $Q^2$
• Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x
• Nonlinear correction to the longitudinal structure function at small x
• Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data
• Geometrical scaling in charm structure function ratios
• Unitarity Corrections to the Drell-Yan Process in the Target Rest Frame
• Unitarity Corrections to the Proton Structure Functions through the Dipole Picture
• Constraining the free parameter of the high parton density effects