Regge residues from DGLAP evolution

Abstract

We show that combining forward and backward evolution allows to extract the residues of the triple-pole pomeron and of the other singularities for 10 GeV${}^2\le Q^2\le 1000$ GeV${}^2$. In this approach, the essential singularity generated by the DGLAP evolution is considered as a numerical approximation to a triple-pole pomeron. Using an analytical expression for the form factors, we reproduce the experimental data with a ${\chi }^2/dof$ of 1.02. This proves the compatibility between Regge theory and DGLAP evolution. The method used here enables us to evaluate the uncertainties on the gluon distribution which prove to be large at small $x$ and small $Q^2$.

11 pages, 9 figures, RevTeX 4, Submitted to Phys. Rev

References in corpus (10)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• 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
• Hadronic scattering amplitudes: medium-energy constraints on asymptotic behaviour
• New data and the hard pomeron
• Regge models of the proton structure function with and without hard Pomeron: a comparative analysis
• Does F2 need a hard pomeron?
• Uncertainties on parton distribution functions from the ZEUS NLO QCD fit to data on deep inelastic scattering
• t-channel unitarity and photon cross sections
• DGLAP evolution extends the triple pole pomeron fit

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• Regge behaviour of distribution functions and evolution of gluon distribution function in Next-to-Leading order at low-x
• Soft data and the hard pomeron
• A review of the hard pomeron in soft diffraction
• Small-$Q^2$ extension of DGLAP-constrained Regge residues
• Studying QCD in the Final State of High Energy Collisions
• The triple-pole pomeron: Regge theory and DGLAP evolution