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We calculate the fully differential single-jet production in longitudinally polarized deep inelastic scattering (DIS) at next-to-next-to-leading-order (NNLO) accuracy, featuring both neutral-current and charged-current processes. The computation is done with the projection-to-Born method, using the next-to-leading-order dijet calculation and the NNLO DIS structure functions as its main ingredients. We also analyze its phenomenological consequences in the kinematics of the future Electron-Ion Collider.
Borsa et al. (Mon,) studied this question.