Hadronic Calorimeter Calibrations using Cosmic Muons with sPHENIX Experiment at RHIC

The Hadronic Calorimeter (HCal) of the sPHENIX experiment is the first hadronic calorimeter located at midrapidity at RHIC providing a full azimuthal acceptance of $0 < phi < 2pi$ and pseudorapidity coverage of $-1.1 < eta < 1.1$. It is designed to measure the energy of hadrons produced in heavy-ion collisions and plays a crucial role in jet reconstruction and the study of the quark-gluon plasma. The HCal is radially divided into two compartments, positioned inside and outside the solenoid magnet, each segmented into towers. Calibrating the energy response of these towers accurately is essential for the jet and hadron energy measurements. The initial absolute calibration at the electromagnetic scale is obtained by matching cosmic muon data to simulations generated using the EcoMug Monte Carlo generator. A relative correction to this scale is extracted using a tower-slope method applied to proton-proton and gold-gold collision data at $sqrt{s_{mathrm{NN}}} = 200$ GeV to address inefficiencies in the simulation. Subsequently, time-dependent gain variations due to temperature fluctuations are corrected. Finally, to reflect the detector's true response to hadrons, the calibration is extended to the hadronic scale using simulations like HIJING and AMPT, along with data-driven techniques, such as $gamma$--jet measurements. This talk presents the full calibration strategy and results.