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Vacuum and medium modified fragmentation functions are used to study theproperties of hadrons produced in hard interactions, in $p$-$p$ and $A$-$A$collisions, respectively. We study the modification of reconstructed jets andhigh transverse momentum (high-$p_\mathrm{T}$) hadrons as they propagatethrough a dense medium. Jets and jet modification are studied within theframework of a factorized jet function. The vacuum jet function is foundconsistent with PYTHIA simulations. Both the modification of the fragmentationfunction and the jet function are carried out within the identical higher-twistenergy loss formalism. This approach is then extended to di-hadron productionwithin a jet. Its further extension to a "di-prong" function and itsapplication to the soft-drop measurements are discussed. The methodology ofextending these semi-analytical calculations to full Monte-Carlo simulations isoutlined. All calculations are carried out within a (2+1)-D viscoushydrodynamic simulation and compared to experimental data from a variety ofcollision energies.

Medium modified leading hadrons, jets and sub-jets in a single formalism