Abstract: The first direct search for lepton-flavour-violating decays of the recently discovered Higgs boson (H) is described. The search is performed in the H ?µte and H ?µth channels, where teand thare tau leptons reconstructed in the electronic and hadronic decay channels, respectively. The data sample used in this search was collected in pp collisions at a centre-of-mass energy of vs=8 TeV with the CMS experiment at the CERN LHC and corresponds to an integrated luminosity of 19.7 fb-1. The sensitivity of the search is an order of magnitude better than the existing indirect limits. A slight excess of signal events with a significance of 2.4 standard deviations is observed. The p-value of this excess at MH=125 GeV is 0.010. The best fit branching fraction is B(H ?µt) =(0.84+0.39-0.37)%. A constraint on the branching fraction, B(H ?µt) <1.51% at 95% confidence level is set. This limit is subsequently used to constrain the µ–t Yukawa couplings to be less than 3.6 ×10-3.

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