Quantum-chromodynamics-based spin-spin asymmetries in large-pTlepton-pair production with polarized beam and target

We calculate, for the first time, the spin-spin asymmetry $A_{\mathrm{LL}}=\frac{d\sigma \mathrm{}\left(p\right(+\left)p\right(+)\mathrm{}\to ({\mu }^{-}{\mu }^{+}\left)X\right)-d\sigma \left(p\right(+\left)p\right(-)\mathrm{}\to ({\mu }^{-}{\mu }^{+}\left)X\right)}{d\sigma \mathrm{}\left(p\right(+\left)p\right(+)\to ({\mu }^{-}{\mu }^{+}\left)X\right)+d\sigma \mathrm{}\left(p\right(+\left)p\right(-)\mathrm{}\to ({\mu }^{-}{\mu }^{+}\left)X\right)}$ in the production of lepton pairs at large $p_T$ from longitudinally polarized hadron beam and target using a hard-scattering model and quantum-chromodynamic perturbation theory. Asymmetries at the 5-10% level are predicted for $p_T\gtrsim 1$ GeV/c. Experimental tests should be possible in the near future.