({\ensuremath{p_{\mathrm{T}}}}^{j_{1}}-{\ensuremath{p_{\mathrm{T}}}}^{j_{2}})/( {\ensuremath{p_{\mathrm{T}}}}^{j_{1}}+{\ensuremath{p_{\mathrm{T}}}}^{j_{2}})$ in Data and MC. Right: Comparison of the ratio of measured ${\ensuremath{p_{\mathrm{T}}}}(Z)$ and the measured jet energy ${\ensuremath{E_{\mathrm{T}}}}$ for $Z$-boson events in the muon decay channel with exactly one jet with ${\ensuremath{E_{\mathrm{T}}}}>30$ GeV and $20<{\ensuremath{p_{\mathrm{T}}}}(Z)<50$ GeV for Data and MC. All MC-corrections have been applied. The grey band indicates the corresponding systematic uncertainties.](Figures/Plot_Zmumu_JetCalib_PTZoOneJet_20_50.pdf "fig:"){width="7.3cm"}

To further validate the applied corrections, $Z$-boson candidate events with an associated production of at least one jet have been selected in data and compared to full simulated Monte Carlo samples. $Z\rightarrow \mu^+\mu^-$ candidate events are selected by requiring events with exactly two oppositely charged, isolated muons with a minimal $p_T$ of 25 GeV within $|\eta|<2.1$. Jets are required to have a minimal transverse momentum of $p_T>30$ GeV within a rapidity range of $|y|<2.4$. The invariant mass of these two lepton candidates has to be between 66 and 116 GeV. This selection ensures a nearly background free selection of $Z$-boson candidates. In order to test the jet calibration, $Z$-boson events with exactly one reconstructed jet are further divided into evens with $20<{\ensuremath{p_{\mathrm{T}}}}(Z)<50$ GeV and $50<{\ensuremath{p_{\mathrm{T}}}}(Z)<100$ GeV. The transverse momentum of the $Z$-boson, precisely measured by its decay leptons, should be balanced in a first 