A direct search for lepton flavour violating decays of the Higgs boson in the $\textrm{H} \rightarrow \mu \tau$ channel is described. In particular, the search examines the $\textrm{H} \rightarrow \mu \tau_{e}$ and the $\textrm{H} \rightarrow \mu \tau_{h}$ channels, where the $\tau$ leptons are reconstructed in the electronic and hadronic decay channels respectively. The data sample used in the search was collected in proton-proton collisions at $\sqrt{s}=13$ TeV with the CMS experiment at the LHC and corresponds to an integrated luminosity of $2.3$ $\textrm{fb}^{-1}$. No excess is observed, and a 95$\%$ CL upper limit of $\mathcal{B}(\textrm{H} \rightarrow \mu \tau ) < 1.20\%$ (1.62 expected) is obtained.

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