The Evolution of Unpolarized and Polarized Structure Functions at Small $x$

Abstract

A survey is given of recent developments on the resummed small-$x$ evolution, in a framework based on the renormalization group equation, of non--singlet and singlet structure functions in both unpolarized and polarized deep--inelastic scattering. The available resummed anomalous dimensions are discussed for all these cases, and the most important analytic and numerical results are compiled. The quantitative effects of these small-$x$ resummations on the evolution of the various parton densities and structure functions are presented, and their present uncertainties are investigated. An application to QED radiative corrections is given.

18 pages Latex, including 11 eps-figures, and a style file. To appear in: Proc. of the International Workshop: QCD and QED in Higher Orders, Rheinsberg, April, 1996, Nucl. Phys. B (Proc. Suppl)

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• On the Behaviour of Non--Singlet Structure Functions at Small $x$
• Summation of Leading Logarithms at Small x
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Cited by in corpus (14)

• Spin Physics and Polarized Structure Functions
• NNLO evolution of deep-inelastic structure functions: the singlet case
• NNLO evolution of deep-inelastic structure functions: the non-singlet case
• Non--Singlet QCD Analysis of Deep Inelastic World Data at \boldmath $O({\alpha }_s^3)$
• The Theory of Deeply Inelastic Scattering
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
• Spin asymmetry A_1^d and the spin-dependent structure function g_1^d of the deuteron at low values of x and Q^2
• O(α^2 L) Radiative Corrections to Deep Inelastic ep Scattering
• QCD expectations for the spin structure function $g_1$ in the low $x$ region
• Unified description of the non-singlet spin dependent structure function $g_1$ incorporating Altarelli-Parisi evolution and the double logarithmic $l{n}^2(1/x)$ effects at low $x$
• Universal Higher Order Singlet QED Corrections to Unpolarized Lepton Scattering
• QCD predictions for spin dependent photonic structure function $g_1^{\gamma }(x,Q^2)$ in the low x region of future linear colliders
• Higher order QED corrections to deep inelastic scattering
• A Short Review and Some New Results on Polarization