Probing the Perturbative NLO Parton Evolution in the Small-$x$ Region

Abstract

A dedicated test of the perturbative QCD NLO parton evolution in the very small-$x$ region is performed. We find a good agreement with recent precision HERA-data for $F_2^p(x,Q^2)$, as well as with the present determination of the curvature of $F_2^p$. Characteristically, perturbative QCD evolutions result in a positive curvature which increases as $x$ decreases. Future precision measurements in the very small $x$-region, $x<10^{-4}$, could provide a sensitive test of the range of validity of perturbative QCD

arXiv commentRevised version, to appear in EPJC

References in corpus (4)

• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• MRST2001: partons and alpha_S from precise deep inelastic scattering and Tevatron jet data
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• Dynamical Parton Distributions Revisited

Cited by in corpus (6)

• Analytic derivation of the next-to-leading order proton structure function $F_2^p(x,Q^2)$ based on the Laplace transformation
• New parton distributions in fixed flavour factorization scheme from recent deep-inelastic-scattering data
• The curvature of $F_2^p(x,Q^2)$ as a probe of the range of validity of perturbative QCD evolutions in the small-$x$ region
• Applications of a nonlinear evolution equation I: the parton distributions in the proton
• Decoupling the NLO coupled QED $\otimes$ QCD, DGLAP evolution equations,Using Laplace Transform Method
• Dynamical parton distribution functions