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

Dorota Kotlorz·Andrzej Kotlorz
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Abstract

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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Dorota Kotlorz, Andrzej Kotlorz. 2001-07-04. Resummation of Double Logarithmic Terms LN^2(1/x) in the Polarized Nonsinglet Structure Function g_1 at Small x via GLAP-Like Approach. https://arxiv.org/abs/hep-ph/0107032

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