Analytic Approaches to the Evolution of Polarised Parton Distributions at Small $x$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages, LATeX, 4 figures availabe as .uu-file

Scientific paper

10.1016/0370-2693(95)01229-X

The $Q^2$ evolution of polarised parton distributions at small $x$ is studied. Various analytic approximations are critically discussed. We compare the full evolution with that obtained from the leading-pole approximation to the splitting functions, and show that the validity of this approximation depends critically on the $x \to 0$ behaviour of the starting distributions. A new analytic solution which is valid at small $x$ is obtained, and its domain of applicability is discussed.

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