This letter presents a search for narrow, high-mass resonances in the $Z\gamma$ final state with the $Z$ boson decaying into a pair of electrons or muons. The $\sqrt{s}=13$ TeV $pp$ collision data were recorded by the ATLAS detector at the CERN Large Hadron Collider and have an integrated luminosity of 140 fb$^{-1}$. The data are found to be in agreement with the Standard Model background expectation. Upper limits are set on the resonance production cross section times the decay branching ratio into $Z\gamma$. For spin-0 resonances produced via gluon-gluon fusion, the observed limits at 95% confidence level vary between 65.5 fb and 0.6 fb, while for spin-2 resonances produced via gluon-gluon fusion (or quark-antiquark initial states) limits vary between 77.4 (76.1) fb and 0.6 (0.5) fb, for the mass range from 220 GeV to 3400 GeV.
The main sources of systematic uncertainty for the $X\to Z \gamma$ search. The gluon-gluon fusion spin-0 signal samples produced at $m_{X} = [220-3400]$ GeV are used to evaluate the systematic uncertainty. The ranges for the uncertainties span the variations among different categories and different $m_{X}$ resonance masses. The uncertainty due to the spurious signal uncertainty is reported as the absolute number of events. In the table, "ID" for photon and electrons refers to identification efficiency uncertainties, "ISO" refers to isolation efficiency uncertainties, "TRIG" refers to trigger efficiency uncertainties, "RECO" refers to muon reconstruction efficiency uncertainty and "TTVA" refers to muon track-to-vertex-association efficiency uncertainty.
The observed (expected) upper limits of $\sigma(pp\to X)\cdot\mathcal{B}(X\to Z\gamma)$ for spin-0 and spin-2 heavy resonances at 95\% CL. $m_{X}$ varies from 220 GeV to 3400~\GeV.
Impacts of grouped dominant systematic uncertainties. The impact corresponds to the relative variation of the asymptotic expected upper limit of $\sigma(pp \rightarrow X) \times BR(X \rightarrow Z\gamma)$ from $m_{X}=220$ GeV to $m_{X}=3.4$ TeV when re-evaluating the quantity by fixing the corresponding nuisance parameters to the best-fit values, while keeping others free to float. The impact of total systematic uncertainties are performed in the last row.
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