Conatraints on $ΔG$ from Prompt Photon plus Jet Production at HERA-$\vec{N}$

The utility of prompt photon plus associated jet production for constraining the size and shape of the polarized gluon density of the proton $ΔG$ is examined at $\sqrt{S}=40$ GeV, appropriate for the proposed HERA-$\vec{N}$ polarized $\vec{p}\vec{p}$ collider experiment. The calculation is performed at next-to-leading order (O($αα_s^2$)) in QCD. The reliability of the predictions are examined in some detail.

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