Resummation of Double Logarithmic Terms LN^2(1/x) in the Polarized Nonsinglet Structure Function g_1 at Small x via GLAP-Like Approach

Details Resummation of Double Logarithmic Terms LN^2(1/x) in the Polarized Nonsinglet Structure Function g_1 at Small x via GLAP-Like Approach Resummation of Double Logarithmic Terms LN^2(1/x) in the Polarized Nonsinglet Structure Function g_1 at Small x via GLAP-Like Approach

2001-07-04

arxiv.org/abs/hep-ph/0107032v1

Acta Phys.Polon.B32:2883,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted to Acta Phys. Pol. B, 17 pages, 5 figures, LaTeX

Scientific paper

An alternative equation, resumming of the $\ln^2 1/x$ terms for the polarized nonsinglet structure function $g_1^{NS}$ at small $x$ is presented. Construction of the GLAP-like formula for the auxiliary function, corresponding to the $g_1^{NS}$ at rescaled $Q^2$ variable is shown. Predictions of this approach for the $g_1^{NS}$ function at small $x$ in a case of a flat as well as a dynamical input are given. The role of the fixed coupling constant and the running one is also discussed.

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