We derive the partonic level longitudinal spin-spin asymmetries for the processes relevant to the hadronic production of isolated double photon events, specifically $q\overline{q}\to \gamma \gamma$ and $\mathrm{gg}\to \gamma \gamma$. We discuss production rates and observable asymmetries ($A_{\mathrm{LL}}$) in polarized $\mathrm{pp}$ collisions at the BNL Relativistic Heavy Ion Collider and their dependence on the spin-dependent sea and gluon distributions. Because the decay $H^0\to \gamma \gamma$ is a possibly important signal for intermediate mass Higgs-scalar production, we also briefly discuss the spin dependence of standard model Higgs-boson production via $\mathrm{gg}\to H^0\left({\mathrm{low}}_{P_T}\right)$ and $\mathrm{gg}\to g{H}^0$, $\mathrm{qg}\to q{H}^0$, and $q\overline{q}\to g{H}^0\left({\mathrm{high}}_{P_T}\right)$.

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