Search for LPV decay $Z\to e \mu$ in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector

The ATLAS detector at the Large Hadron Collider is used to search for the lepton flavor violating process $Z \to e\mu$ in $pp$ collisions with 140 fb$^{−1}$ of data collected at $\sqrt{s}$ = 13 TeV. This analysis looks for an enhancement in the eμ invariant mass spectrum at the $Z$ boson mass. The number of $Z$ bosons produced in the data sample is estimated using events of similar topology, $Z \to ee$ and $\mu\mu$, thus reducing the majority of uncertainties in tracking, isolation and particle identification. The detailed methodology is given in the talk. The preliminary result shows an improved sensitivity in addition to the statistical gain compared to the Run I analysis.