Search for a narrow resonance in high-mass dilepton final states in proton-proton collisions using 140$~\mathrm{fb}^{-1}$ of data at $\sqrt{s}=13~\mathrm{TeV}$

A search for physics beyond the standard model is presented using electron or muon pairs with high invariant mass. A data set of proton-proton collisions collected by the CMS experiment at the LHC at $\sqrt{s}=13~\mathrm{TeV}$ recorded in years 2016 to 2018 and corresponding to a total integrated luminosity of up to 140 $\mathrm{fb}^{-1}$ is analyzed. No significant deviation is observed with respect to the expectation from the standard model backgrounds. Upper limits are set on the ratio of the production cross section times branching ratio of a new narrow dilepton resonance to that of the Z boson and converted into lower limits on the masses of various hypothetical particles. A $Z'_{SSM}$ ($Z'_\psi$) particle, arising in the sequential standard model (superstring-inspired model) is excluded below a mass of 5.15 (4.56)$~\mathrm{TeV}$ at $95\%$ confidence level.