A search is performed for a heavy particle decaying into different flavour dilepton pairs ( $e\mu $ , $e\tau $ or $\mu \tau $ ), using 3.2 fb$^{-1}$ of proton–proton collision data at $\sqrt{s}=13$ TeV collected in 2015 by the ATLAS detector at the Large Hadron Collider. No excess over the Standard Model prediction is observed. Limits at the 95 % credibility level are set on the mass of a $Z^\prime $ boson with lepton-flavour-violating couplings at 3.0, 2.7 and 2.6 TeV, and on the mass of a supersymmetric $\tau $ sneutrino with R-parity-violating couplings at 2.3, 2.2 and 1.9 TeV, for $e\mu $ , $e\tau $ and $\mu \tau $ final states, respectively. The results are also interpreted as limits on the threshold mass for quantum black hole
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