Next-to-leading order evolution of generalized parton distributions for HERA and HERMES

Abstract

The QCD evolution of both unpolarized and polarized generalized parton distributions (GPDs) to next-to-leading order (NLO) accuracy is presented, in both the DGLAP and ERBL regions, for two appropriately symmetrized input distributions based on conventional parton density functions. To illustrate the relative size of the NLO corrections a comparison is made with leading order evolution of the same distributions. For the first time, NLO results are given for both small and large values of the skewedness parameter, $\zeta =x_{bj}$, i.e. for all of the kinematic range relevant to HERA and HERMES.

11 pages, 8 figures, latex, uses revtex style files, published version + corrections of erratum edited in. references updated

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• Modelling generalized parton distributions to describe deeply virtual Compton scattering data
• A next-to-leading order QCD analysis of deeply virtual Compton scattering amplitudes
• Generalized parton distributions and composite constituent quarks
• A next-to-leading order analysis of deeply virtual Compton scattering
• Leading twist generalized parton distributions and spin densities in a proton
• Some numerical studies of the evolution of generalized parton distributions
• Spatial imaging of proton via leading-twist non-skewed GPDs with basis light-front quantization
• A detailed QCD analysis of twist-3 effects in DVCS observables
• Nonperturbative versus perturbative effects in generalized parton distributions
• A Kinematically Complete Analysis of the CLAS data on the Proton Structure Function $F_2$ in a Regge-Dual model
• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Generalized Parton Distributions: confining potential effects within AdS/QCD
• Enhancement effects in exclusive $\pi \pi$ and $\rho \pi$ production in ${\gamma }^{\ast }\gamma$ scattering
• Nuclear effects and their interplay in nuclear DVCS amplitudes
• QCD evolution and skewedness effects in color dipole description of DVCS
• Demystifying generalized parton distributions
• Revisiting evolution equations for generalised parton distributions
• Generalized Parton Distributions of Pions. Spin Structure of Hadrons
• Generalized parton distributions of the nucleon in constituent quark models