A search for flavor violating decays of the Z boson to charged leptons is performed using data from proton-proton collisions at $\sqrt{s}$ = 13 TeV collected with the CMS detector at the LHC, corresponding to an integrated luminosity of 138 fb$^{-1}$. Each of the decays Z $\to$ e$μ$, Z $\to$ e$τ$, and Z $\to$$μτ$ is considered. The data are consistent with the backgrounds expected from standard model processes. For the Z $\to$ e$μ$ channel the observed (expected) 95% confidence level upper limit on the branching fraction is 1.9 (2.0) $\times$ 10$^{-7}$, which is the most stringent direct limit to date on this process; the corresponding limits for the Z $\to$ e$τ$ and Z $\to$ $μτ$ channels are 13.8 (11.4) $\times$ 10$^{-6}$ and 12.0 (5.3) $\times$ 10$^{-6}$, respectively. Additionally, the e$μ$ final state is used to search for lepton flavor violating decays of Z' resonances in the mass range from 110 to 500 GeV. No significant excess is observed above the predicted background levels.
Expected and observed 95% CL upper limits on $\mathcal{B}(\mathrm{Z}\rightarrow e\mu)$ for three BDT score bins and their combination, at $\sqrt{s} =$ 13 TeV with 138 fb$^{-1}$.
Expected and observed 95% CL upper limits on $\mathcal{B}(\mathrm{Z}\rightarrow e\tau)$ in the hadronic- and leptonic-$\tau$ decay channels, and for their combination ($\sqrt{s} =$ 13 TeV, 138 fb$^{-1})$.
Expected and observed 95% CL upper limits on $\mathcal{B}(\mathrm{Z}\rightarrow \mu\tau)$ in the hadronic- and leptonic-$\tau$ decay channels, and for their combination ($\sqrt{s} =$ 13 TeV, 138 fb$^{-1}$).
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