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We present the calculation for single-inclusive jet production in(longitudinally) polarized deep-inelastic lepton-nucleon scattering atnext-to-next-to leading order (NNLO) accuracy, based on the Projection-to-Bornmethod. As a necessary ingredient to achieve the NNLO results, we alsointroduce the next-to-leading-order (NLO) calculation for the production ofdi-jets in polarized DIS. Our di-jet calculation is based on an extension ofthe dipole subtraction method to account for polarized initial-state partons.We analyze the phenomenological consequences of higher order QCD correctionsfor the Electron-Ion Collider kinematics.

Inclusive-jet and Di-jet Production in Polarized Deep Inelastic Scattering