  We present a systematic calculation of the current jet production
semi-inclusive deeply inelastic scattering process at the Electron-Ion Collider
energy. Contributions from weak interactions are considered which give rise to
parity violating effects. We consider the general form of the polarized
electron beam scattering off the polarized target which has spin 1. The
calculations are carried out up to twist-3 level in the quantum chromodynamics
parton model by applying the collinear expansion where multiple gluon
scattering is taken into account and gauge links are obtained automatically. We
present complete results for structure functions and spin/azimuthal asymmetries
in terms of the gauge invariant transverse momentum dependent parton
distribution functions. Both the unpolarized and the polarized electron beam
cases correspond to 24 azimuthal asymmetries, in which 6 of them appear at the
leading twist, while 18 of them contribute at twist-3 level. In addition we
also calculate the parity-violating asymmetries which arise from the
interference of the electromagnetic and weak interactions.
