Explore hadronization through heavy flavor probes at the future Electron-Ion Collider

The proposed high-luminosity high-energy Electron-Ion Collider (EIC) will provide a clean environment to precisely study the nuclear modification of the nuclear parton distribution functions (nPDFs) and hadronization processes within a wide x-$Q^{2}$ phase space. Heavy flavor hadrons in electron+proton and electron+nucleus collisions access different kinematic coverages from light flavor hadrons. Such measurement at the future EIC will provide a unique path to explore the flavor dependent fragmentation function and energy loss mechanism in heavy nuclei, which can constrain the initial state effects for previous and ongoing heavy ion measurements at Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). Heavy flavor hadron and jet reconstruction has been obtained in simulation with recent EIC detector design and performance evaluated in GEANT4. Corresponding physics projections such as the flavor dependent hadron nuclear modification factor in electron+nucleus collisions will be discussed in this presentation.