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Asymptotical small-x behaviour of the spin structure functions g1 and g2

B. I. Ermolaev, S. I. Troyan

hep-pharXiv:hep-ph/9706324

Abstract

We show that for small x and in the double logarithmic approximation (DLA) g2 can be expressed through derivative of g1 with respect to logarithm of the QCD coupling. Therefore the small-x behavior of the both structure functions is similar. The analytical expression for flavor nonsinglet structure function g1 is presented and its asymptotical behaviour is calculated.

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