Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering

Abstract

A next-to-leading order QCD analysis of spin asymmetries and structure functions in polarized deep inelastic lepton nucleon scattering is presented within the framework of the radiative parton model. A consistent NLO formulation of the $Q^2$-evolution of polarized parton distributions yields two sets of plausible NLO spin dependent parton distributions in the conventional $\overline{\mathrm{MS}}$ factorization scheme. They respect the fundamental positivity constraints down to the low resolution scale $Q^2={\mu }_{NLO}^2=0.34{\mathrm{GeV}}^2$. The $Q^2$-dependence of the spin asymmetries $A_1^{p,n,d}(x,Q^2)$ is similar to the leading-order (LO) one in the range $1\le Q^2\le 20{\mathrm{GeV}}^2$ and is shown to be non-negligible for $x$-values relevant for the analysis of the present data and possibly forthcoming data at HERA.

34 pages, LaTeX, 9 figures; Only quantitative results of the original paper have been changed for two reasons: (1) small errors in the calculation of the NLO anom. dimensions (ref. 11); (2) inclusion of new data. Previous LO results (ref. 1) have also been updated

References in corpus (5)

• The theory and phenomenology of polarized deep inelastic scattering
• Measurements of the Q2-Dependence of the Proton and Deuteron Spin Structure Functions g1p and g1d
• Scale Dependence and Small-x Behaviour of Polarized Parton Distributions
• Spin Contents of Nucleons with SU(3) Breaking
• Radiative Parton Model Analysis of Polarized Deep Inelastic Lepton Nucleon Scattering

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