Isolated Photons at Hadron Colliders at O(\alpha alpha_s^2) (II): Spin Dependent Case

Abstract

The cross section for inclusive prompt photon production with polarized hadron beams is calculated at order $\alpha\alpha_s^2$ using the phase space slicing or analytic/Monte Carlo method. Isolation cuts are placed on the photon and the results are compared to a previous fully analytic calculation. Numerical results for the isolated cross section are presented for for $\vec{p}\vec{p}\rightarrow \gamma+X$ at RHIC center-of-mass energies with plausible isolation parameters using the most modern polarized parton densities evolved in next-to-leading order QCD. The perturbative stability of the asymmetries and scale dependence of the results are briefly discussed.