Validation of the muon momentum corrections for the ATLAS simulation using the $\varUpsilon \rightarrow \mu\mu$ channel based on 36.5 fb$^{-1}$ of $pp$ collision data collected in 2015 and 2016

This note documents the validation of the muon momentum corrections of the ATLAS detector using the LHC dataset recorded at $\sqrt{s}$ = 13 TeV in 2015 and 2016 corresponding to a dataset of 36.5 fb$^{−1}$ of pp collision data. The muon momentum corrections are derived using muons from $J/\psi\to\mu\mu$ and $Z\to\mu\mu$ decays. The validation is based on a large sample of $\Upsilon\to\mu\mu$. Data are compared to Monte Carlo simulations over the pseudorapidity and transverse-momentum phase space $|\eta| < 2.5$ and $8 < p_{T} < 50$ GeV partially overlapping both the phase spaces covered by $J/\psi\to\mu\mu$ and $Z\to\mu\mu$. Data are well reproduced by the simulation. In the central region of the detector, the momentum resolution is measured to be 1.7% for muons from $\Upsilon\to\mu\mu$ decays collected in 2015 and 2016, and the momentum scale is known with an uncertainty of 0.05%. In the forward region, $|\eta| > 2.2$, the $p_{T}$ resolution for muons from $\Upsilon\to\mu\mu$ decays collected in 2015 and 2016 is 2.9% and the momentum scale is known with an uncertainty of 0.25%. Data are well reproduced by the simulation. These results provide a powerful validation of the muon momentum corrections derived using muons from $J/\psi\to\mu\mu$ and $Z\to\mu\mu$ decays.