<p>A search for new long-lived particles decaying to leptons is presented using proton-proton collisions produced by the LHC at <inline-formula><mml:math display="inline"><mml:mrow><mml:msqrt><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msqrt><mml:mo>=</mml:mo><mml:mn>8</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>TeV</mml:mi></mml:mrow></mml:math></inline-formula>. Data used for the analysis were collected by the CMS detector and correspond to an integrated luminosity of <inline-formula><mml:math display="inline"><mml:mrow><mml:mn>19.7</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mrow><mml:msup><mml:mrow><mml:mi>fb</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. Events are selected with an electron and muon with opposite charges that both have transverse impact parameter values between 0.02 and 2 cm. The search has been designed to be sensitive to a wide range of models with nonprompt <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mtext>-</mml:mtext><mml:mi>μ</mml:mi></mml:mrow></mml:math></inline-formula> final states. Limits are set on the “displaced supersymmetry” model, with pair production of top squarks decaying into an <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mtext>-</mml:mtext><mml:mi>μ</mml:mi></mml:mrow></mml:math></inline-formula> final state via <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>-parity-violating interactions. The results are the most restrictive to date on this model, with the most stringent limit being obtained for a top squark lifetime corresponding to <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mi>τ</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>cm</mml:mi></mml:mrow></mml:math></inline-formula>, excluding masses below 790 GeV at 95% confidence level.</p>