On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions

Abstract

The twist 2 and twist 3 contributions of the polarized deep-inelastic structure functions are calculated both for neutral and charged current interactions using the operator product expansion in lowest order in QCD. The relations between the different structure functions are determined. New integral relations are derived between the twist 2 contributions of the structure functions $g_3(x,Q^2)$ and $g_5(x,Q^2)$ and between combinations of the twist 3 contributions to the structure functions $g_2(x,Q^2)$ and $g_3(x,Q^2)$. The sum rules for polarized deep inelastic scattering are discussed in detail.