  We study the twist-2 double-spin asymmetries for the 2-jets and large-$p_T$
hadron ($\pi$, $\Lambda$ etc) production in semi-inclusive deep inelastic
scattering to $O(\alpha_s)$ in perturbative QCD. After deriving the complete
set of the polarized cross section which is differential with respect to the
transverse momentum, we discuss characteristic features of the azymuthal spin
asymmetries, using existing parton densities and fragmentation functions at
COMPASS and EIC energies.
