Measurements of the relative alignment of the muon spectrometer precision chambers in $\sqrt {s}$ = 13 TeV proton-proton collisions with the ATLAS detector

A good muon momentum resolution in the region from hundreds of GeV to several TeV is crucial for searches for new physics, such as $W$' → $\mu$$ν$ and $Z$' → $\mu\mu$ (ATLAS Collaboration, Phys. Lett. B, 796 (2019) 68) at the LHC. A new physics signal in one of these channels could manifest itself as an excess over the Standard Model (SM) prediction in the form of a handful of muon candidates in the high-end tail of the transverse mass or invariant mass distribution. It is therefore important to reject poorly measured muons, where the reconstructed $_{pT}$ is much higher than the true value, to avoid the contamination of the highmass region with events migrating from lower masses. The ability to reconstruct high-momentum muon tracks in ATLAS with good momentum resolution is closely connected to a good understanding of the ATLAS tracking detectors alignment and of the related uncertainties. This contribution provides an overview of the method used in muon reconstruction to account for the differences in position and orientation of the various detector elements, between the geometry used in simulation and the real position of the detector