Simulations of Energy Correlators in Jets for the Electron-Ion Collider

The Electron-Ion Collider (EIC) is a future particle accelerator that will collide electrons with protons and nuclei to study Quantum Chromodynamics (QCD). Two of the goals of the EIC are to investigate the hadronization process in which outgoing quarks and gluons convert into hadrons, and nuclear modification of hadronization thanks to its capability to collide electrons with various nuclei. Jets, the collimated sprays of particles that represent outgoing quarks or gluons, are excellent tools for these studies. The EIC is a simpler environment for studying jets than the Large Hadron Collider and provides an experimentally clean laboratory for studying hadronization. In this poster, I will discuss simulation studies for the EIC of jet observables known as energy correlators. The energy correlators are statistical correlations of the energy flux of jet constituents, facilitating studies of QCD dynamics including hadronization and nuclear modification. Using simulated electron-proton collisions generated from Pythia 8, I built two-point energy correlators (E2C) and three-point energy correlators (E3C) as well as the ratio between E3C and E2C. To understand how well energy correlators in jets can be measured at the EIC, the energy and angular information of jets and their constituents are modified to estimate detector resolution effects.