Small x behaviour of parton distributions with soft initial conditions

Abstract

We present an analytical parametrization of the QCD description of the small x behaviour of parton distribution functions in the leading twist approximation of the Wilson operator product expansion, in the case of soft initial conditions. The results are in very good agreement with deep inelastic scattering experimental data from HERA.

21 pages, latex + 3 ps figures

References in corpus (38)

• BFKL pomeron in the next-to-leading approximation
• Improved Parton Distributions from Global Analysis of Recent Deep Inelastic Scattering and Inclusive Jet Data
• Energy Scale(s) and Next-to-leading BFKL Equation
• Global QCD Analysis and the CTEQ Parton Distributions
• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio sigma(L)/sigma(T)
• Parton Distributions of the Proton
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Measurement of the proton and the deuteron structure functions F2p and F2d
• A Measurement and QCD Analysis of the Proton Structure Function $F_2(x,Q^2)$ at HERA
• Parton distributions: a study of the new HERA data, ${\alpha }_s$, the gluon and $p\bar{p}$ jet production
• Measurement of the F2 structure function in deep inelastic scattering using 1994 data from the ZEUS detector at HERA
• Measurement of the Proton Structure Function F_2 and σ_{tot}^{γ^* p} at Low Q^2 and Very Low x at HERA
• Proton structure function at small Q^2
• Structure Functions of the Nucleon and their Interpretation
• A Measurement of the Proton Structure Function F_2(x,Q^2) at Low x and Low Q^2 at HERA
• Irreducible part of the next-to-leading BFKL kernel
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Measurement of the Proton Structure Function $F_2$ at low $x$ and low $Q^2$ at HERA
• Summation of Leading Logarithms at Small x
• QCD Scaling Violation at Small x
• A Direct Test of Perturbative QCD at Small x
• Physical Anomalous Dimensions at Small $x$
• Energy Scale and Coherence Effects in small-x Equations
• Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
• On the analytical approximation to the GLAP evolution at small x and moderate Q^2
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Theory of Small $x$ Deep Inelastic Scattering NLO Evaluations, and low $Q^2$ Analysis
• Study of the Uncertainty of the Gluon Distribution
• Two-loop operator matrix elements calculated up to finite terms
• The Gluon Distribution as a Function of F${}_2$ and dF${}_2$/dlnQ${}^2$ at small x. The Next-to-Leading Analysis
• Analytic Approach to Small-X Structure Functions
• QCD analysis of the CCFR data for $x{F}_3$ and Higher--Twist Contribution
• The Longitudinal Structure Function F${}_L$ as a Function of F${}_2$ and dF${}_2$/dlnQ${}^2$ at small x. The Next-to-Leading Analysis
• Small $x$ Behaviour of Parton Distributions in Proton
• Higher twists in deep inelastic scattering
• On the origin of the rise of $F_2$ at small $x$
• An Observation on F_2 at Low x

Cited by in corpus (41)

• Small-x behavior of the structure function F_2 and its slope partial ln(F_2)/partial ln(1/x) for "frozen" and analytic strong-coupling constants
• Small x behavior of parton distributions. A study of higher twist effects
• Charged Current Neutrino Cross Section and Tau Energy Loss at Ultra-High Energies
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• Particle Event Generator: A Simple-in-Use System PEGASUS version 1.0
• QCD effective charge and the structure function $F_2$ at small-$x$
• Q2-evolution of parton densities at small x values. Combined H1 and ZEUS F2 data
• Extracting the longitudinal structure function FL(x,Q2) at small x from a Froissart-bounded parametrization of F2(x,Q2)
• Ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound
• Asymptotic neutrino-nucleon cross section and saturation effects
• Ultra-high energy neutrino-nucleon interactions
• Transverse momentum dependent parton densities in processes with heavy quark generations
• Average gluon and quark jet multiplicities at higher orders
• Q2-evolution of parton densities at small x values. Charm contribution in the combined H1 and ZEUS F2 data
• Application of the rescaling model at small Bjorken $x$ values
• Fractional Analytic QCD beyond Leading Order
• F2c at low x
• Longitudinal structure function FL at small x extracted from the Berger-Block-Tan parametrization of F2
• Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultra-high energy neutrino-nucleon cross section
• Timelike Single-logarithm-resummed Splitting Functions
• Transverse momentum dependent parton densities in a proton from the generalized DAS approach
• New type of parametrizations for parton distributions
• Antishadowing in the rescaling model at x ~ 0.1
• Measuring the BFKL Pomeron in Neutrino Telescopes
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Decoupling of the structure functions in momentum space based on the Laplace transformation
• Small x behavior of the slope dlnF_2/dln(1/x) in the framework of perturbative QCD
• Comparative analysis of analytical solutions for $F_2^P$ at small $x$ in DGLAP approach
• EMC effect at small Bjorken x values
• The approximation method for calculation of the exponent of the gluon distribution-${\lambda }_g$ and the structure function-${\lambda }_S$ at low $x$
• Gluon density from the Berger-Block-Tan form of the structure function F2
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Gluon evolution for the Berger-Block-Tan form of the structure function F2
• On x-independence of RQ = FLQ/F2Q ratio at low x
• alpha_s in DIS scheme
• Collinear approach for top quark production at ep colliders
• SUSY, Casimir scaling and probabilistic properties of gluon and quark jets evolution
• Q2-evolution of parton densities at small-x values
• SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
• Q^2 evolution of parton distributions at small x
• Global Analyses of Generalized Parton Distributions with Diverse PDF Inputs