  We perform the calculation of the fully differential single-jet production in
longitudinally polarized deep inelastic scattering (DIS) at the
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 (P2B), using the next-to-leading order (NLO) 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 (EIC).
