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Jet-medium interaction in heavy-ion collisions has been the subject of many studies over years. To explore the phenomenon of jet quenching in detail, model builders have been focusing on the jetinduced medium response with many theoretical approaches. In this short overview, two models are introduced to illustrate the difference in two main theoretical approaches. The important effect related to the medium response have been found for jet energy loss, jet substructure and many other observables in different model calculations.

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In heavy-ion physics, the inclusive jet suppression and anisotropy are studied within the Linear Boltzmann Transport(LBT) model. Both agree well with experimental results from Large Hadron Collider (LHC) experiments. The inclusive jet suppression factor is found to depend on the initial jet spectrum and jet quenching. With event-by-event fluctuating hydrodynamic simulations, an approximately linear correlation is found between jet azimuthal anisotropy and the bulk azimuthal anisotropy.

We give a report of medium modification of Z+jet correlations in Pb+Pb collisions at the Large Hadron Collider using Sherpa to generate initial Z+jet at next-leading-order matrix element matched parton shower, and the Linear Boltzmann Transport Model for jet propagation in the expanding quark-gluon-plasma. Our numerical calculations show excellent agreement with all available observables of Z+jet simultaneously in both proton + proton and Pb+Pb collisions. Our results can well explain the shift of momentum asymmetry x jZ = p jet T /p Z T as well as its mean values, the suppression of the jet yields per Z trigger R jZ and the modification of azimuthal angle correlation ∆φ jZ . We also demonstrate that it is the energy loss effect on multi-jets from highorder corrections that leads to the suppression of the Z+jet correlation at small azimuthal angle difference ∆φ jZ and at small x jZ . The jet shape reflecting transverse momentum distribution inside the jet is also calculated, which indicates that large fraction of jet energy is carried away from the jet axis in Pb+Pb collisions.