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Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x

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arxiv hep-ph/9603204 v1 pith:F5HBBK73 submitted 1996-03-01 hep-ph

classification hep-ph
keywords contributionglapregionsmall-xapproximationcontributionsdoubleevolution
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The singlet contribution to the $g_1(x,Q^2)$ structure function is calculated in the double-logarithmic approximation of perturbative QCD in the region $x \ll 1$. Double logarithmic contributions of the type $(\alpha_s \ln ^2 (1/x))^k$ which are not included in the GLAP evolution equations are shown to give a power-like rise at small-x which is much stronger than the extrapolation of the GLAP expressions. The dominant contribution is due to the gluons which, in contrast to the unpolarized case, mix with the fermions also in the region $x \ll 1$. The two main reasons why the small-x behavior of the double logarithmic approximation is so much stronger than the usual GLAP evolution are: the larger kinematical region of integration (in particular, no ordering in transverse momentum) and the contributions from non-ladder diagrams.

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Cited by 3 Pith papers

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