Search for Lepton Flavour Violating Decays of the Higgs Boson

A search for lepton flavour violation Higgs decay in the *H → µτh* and*H → eτh* in which tau leptons decay hadronically is presented. The search of tau lepton hadronic decay channels and the searches that are combined with tau lepton leptonic decays are presented. The H->e tau_h search utilizes the 2012 proton-proton collision dataset at LHC with an integrated luminosity of 19.7 fb^(-1) at a center-of-mass energy of 8 TeV collected by CMS experiment. No significant excess was observed. The upper limits on branching fraction is B < 0.69 and the corresponding Yukawa coupling is set as Y_etau < 2.4x10^(-3) at 95% CL. For the H->mu tau_h search, the full 2016 proton-proton collision dataset with an integrated luminosity of 35.9 fb^(-1) at a center-of-mass energy of 13 TeV was used. No significant excess was observed. The upper limits on branching fraction H->mu tau is B < 0.25% and the corresponding Yukawa coupling is set as Y_mutau < 1.43x10^(-3) at 95% CL.