The Gluon Distribution as a Function of F${}_2$ and dF${}_2$/dlnQ${}^2$ at small x. The Next-to-Leading Analysis

Abstract

We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F${}_2$ and its derivative dF${}_2$/dlnQ${}^2$ at small x in the leading and next-to-leading order of perturbation theory. The detailed analysis is given for new HERA data. The values of the gluon distribution are found in the range $10^{-4}\le x\le 10^{-2}$ at $Q^2=20$ GeV${}^2$.

arXiv comment9 pages, latex, 6 figures (uuencoded compressed tar-file). Figures are also available on request

References in corpus (5)

• Pinning down the Glue in the Proton
• A Measurement of the Proton Structure Function $F_2(x,Q^2)$
• Double Asymptotic Scaling at HERA
• A Direct Test of Perturbative QCD at Small x
• The Gluon Density of the Proton at Low $x$ from a QCD Analysis of $F_2$

Cited by in corpus (14)

• Small x behaviour of parton distributions with soft initial conditions
• Small x behavior of parton distributions. A study of higher twist effects
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Shadowing correction to the gluon distribution behavior at small x
• Longitudinal structure function FL at small x extracted from the Berger-Block-Tan parametrization of F2
• NLO corrections to the hard pomeron behavior of the charm structure functions $F_k^c(k=2,L)$ at low x
• Solutions of Independent DGLAP Evolution Equations for the Gluon Distribution and Singlet Structure Functions in the Next-to-Leading Order at Low x
• Dynamical behavior connection of the gluon distribution and the proton structure function at small $x$
• The approximation method for calculation of the exponent of the gluon distribution-${\lambda }_g$ and the structure function-${\lambda }_S$ at low $x$
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• Top cross section in the LHeC and FCC-he energy range
• Gluon evolution for the Berger-Block-Tan form of the structure function F2
• Analytic Approach to the Approximate Solution of the Independent DGLAP Evolution Equations with Respect to the Hard-Pomeron Behavior