  We present a study of the nuclear-medium induced transverse momentum
broadening of particle production in future electron-ion-collision~(EIC)
experiments. By considering the multiple scattering between hard partons and
cold nuclear medium within the higher-twist factorization framework in
perturbative QCD, we calculate the transverse momentum broadening of single
hadron production in semi-inclusive measurements, as well as the nuclear
enhancement of the transverse momentum imbalance for di-hadron and heavy-meson
pair productions. In particular, a kinematics dependent non-perturbative jet
transport coefficient $\hat q=\hat q(x,Q^2)$ extracted in a global analysis of
the current data, together with its uncertainty determined with a Hessian
method, are input into our calculations and are available for the community.
Significant kinematic and color-state dependences of the nuclear induced
broadening/imbalance are predicted. Our results indicate that the future EIC
measurements are able to provide powerful constraints on the kinematic
dependence of the transport coefficient $\hat q$ and thus greatly facilitate
the jet tomography of cold nuclear medium.
