Measurement of the muon reconstruction performance of the ATLAS detector using 2011 and 2012 LHC proton-proton collision data

This paper presents the performance of the ATLAS muon reconstruction during the LHC run with $pp$ collisions at $\sqrt{s}=7-8$ TeV in 2011-2012, focusing mainly on data collected in 2012. Measurements of the reconstruction efficiency and of the momentum scale and resolution, based on large reference samples of $J\mathrm{/}\psi \to \mu \mu$, $Z\to \mu \mu$ and $\mathrm{{\rm Y}}\to \mu \mu$ decays, are presented and compared to Monte Carlo simulations. Corrections to the simulation, to be used in physics analysis, are provided. Over most of the covered phase space (muon $\mathrm{\mid }\eta \mathrm{\mid }<2.7$ and $5\lesssim p_{\mathrm{T}}\lesssim 100$ GeV) the efficiency is above $99\mathrm{\%}$ and is measured with per-mille precision. The momentum resolution ranges from $1.7\mathrm{\%}$ at central rapidity and for transverse momentum $p_{\mathrm{T}}\simeq 10$ GeV, to $4\mathrm{\%}$ at large rapidity and $p_{\mathrm{T}}\simeq 100$ GeV. The momentum scale is known with an uncertainty of $0.05\mathrm{\%}$ to $0.2\mathrm{\%}$ depending on rapidity. A method for the recovery of final state radiation from the muons is also presented.