A search for lepton flavor violating decays of a neutral heavy Higgs boson in the $\mu\tau$ and $\textrm{e}\tau$ decay modes is presented. The search is based on a dataset of 35.9~\mathrm{fb}^{-1} proton-proton collisions collected with the CMS detector in 2016, at a center-of-mass energy of \sqrt{s}=13~\mathrm{TeV}. The tau leptons are reconstructed in the leptonic and hadronic decay modes. No signal is observed. The observed (expected) limits on the cross section times the branching fraction of a Higgs boson of mass in the range 200-900 GeV, decaying to $\mu\tau$ and $\textrm{e}\tau$ vary from 51.9 (57.4) fb to 1.6 (2.1) fb and from 94.1 (91.6) fb to 2.3 (2.3) fb, respectively.

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