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This search, a type not previously performed at ATLAS, uses a comparison ofthe production cross sections for $e^+ \mu^-$ and $e^- \mu^+$ pairs toconstrain physics processes beyond the Standard Model. It uses $139\text{fb}^{-1}$ of proton$-$proton collision data recorded at $\sqrt{s} = 13$TeV at the LHC. Targeting sources of new physics which prefer final statescontaining $e^{+}\mu^{-}$ to $e^{-}\mu^{+}$, the search contains two broadsignal regions which are used to provide model-independent constraints on theratio of cross sections at the 2% level. The search also has two specialselections targeting supersymmetric models and leptoquark signatures.Observations using one of these selections are able to exclude, at 95%confidence level, singly produced smuons with masses up to 640 GeV in a modelin which the only other light sparticle is a neutralino when the$R$-parity-violating coupling $\lambda'_{231}$ is close to unity. Observationsusing the other selection exclude scalar leptoquarks with masses below 1880 GeVwhen $g_{\text{1R}}^{eu}=g_{\text{1R}}^{\mu c}=1$, at 95% confidence level. Thelimit on the coupling reduces to $g_{\text{1R}}^{eu}=g_{\text{1R}}^{\muc}=0.46$ for a mass of 1420 GeV.

physics letters b

A search for an unexpected asymmetry in the production of $e^+ \mu^-$  and $e^- \mu^+$ pairs in proton-proton collisions recorded by the ATLAS  detector at $\sqrt s = 13$ TeV