  Multiple scattering leads to transverse momentum broadening of the struck
quark in semi-inclusive deeply inelastic scatterings (SIDIS). Nuclear
broadening of the transverse momentum squared at the leading twist is
determined by the twist-four collinear quark-gluon correlation function of the
target nucleus that is in turn related to the jet transport parameter inside
the nuclear medium. The twist-six contributions to the transverse momentum
broadening are calculated as power corrections $\sim 1/Q^2$. Such power
corrections are found to have no extra nuclear enhancement beyond the
twist-four matrix elements and are determined by the nuclear modification of
collinear parton distribution and correlation functions. They become important
for an accurate extraction of the jet transport parameter inside large nuclei
and its scale evolution at intermediate values of the hard scale $Q^2$.
