Single-inclusive jet production in polarized pp collisions at RHIC to next-to-leading logarithmic accuracy

We perform the resummation of large logarithmic corrections to the partonic cross sections for single-inclusive jet production in polarized pp collisions. We reach the next-to-leading logarithmic accuracy for this observable with the corresponding matching to the next-to-leading order calculation performed in the small-cone approximation. We present numerical results for the BNL-RHIC collider at $\sqrt{S}=200$  GeV and at $\sqrt{S}=500$  GeV. We find an enhancement of the spin-dependent cross section, specially at high transverse momentum for the jet, resulting in a rather small increase of the double-spin asymmetry $A^{\mathrm{jet}}_{\mathrm{LL}}$ for this process.