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

Higher-twist contributions to the transverse momentum broadening in semi-inclusive deep inelastic scattering off large nuclei