Measurement of Tracking Resolution in a sMDT Chamber

The expected High Luminosity Large Hadron Collider (HL-LHC) operations require the experiments at the LHC to upgrade the detectors with new technologies to cope with much increased event rates due to higher pileup. A new small-diameter Monitored Drift Tube (sMDT) chamber has been developed to upgrade the Muon Spectrometer of the ATLAS experiment. A prototype sMDT chamber has been constructed at the University of Michigan to demonstrate the required performance. In this document we outline the methodology used to determine the detector tracking resolution and efficiency with cosmic ray muons, which includes a reconstruction of sMDT data and a simulation of the test chamber with Geant4. A resolution of 103.7$\pm8.1$ $\mu$m was measured, to be compared with a designed resolution of 106$\mu$m.