QCD predictions for polarized deep inelastic scattering accompanied by a forward jet in the low x region of possible HERA measurements

We estimate the cross-section and asymmetry relevant for the production of forward jets in polarized deep inelastic scattering in the region of small values of x which can be probed at possible polarized HERA measurements. The kinematical cuts implemented in our analysis are the same as those which were used in the unpolarized deep inelastic scattering at HERA. The calculations are based on the double ln2(1/x) resummation which controls the polarized deep inelastic scattering for small values of the Bjorken parameter x. We show that this resummation substantially enhances the corresponding cross-section and asymmetry. The predicted value of the asymmetry is found to vary between −0.01 and −0.04 within the small x region which can possibly be probed at polarized HERA measurements.