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The OPERA experiment, exposed to the CERN to Gran Sasso $\nu_\mu$ beam,collected data from 2008 to 2012. Four oscillated $\nu_\tau$ Charged Currentinteraction candidates have been detected in appearance mode, which areconsistent with $\nu_\mu \to \nu_\tau$ oscillations at the atmospheric $\Deltam^2$ within the "standard" three-neutrino framework. In this paper, the OPERA$\nu_\tau$ appearance results are used to derive limits on the mixingparameters of a massive sterile neutrino.

Limits on muon-neutrino to tau-neutrino oscillations induced by a sterile neutrino state obtained by OPERA at the CNGS beam