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A recent search for the lepton flavor violating (LFV) decays of the Higgsboson, performed by CMS collaboration, reports an interesting deviation fromthe standard model (SM). The search conducted in the channel $H\rightarrow\mu\tau_e$ and $H\rightarrow \mu\tau_{\textrm{had}}$ shows an excess of$2.4\sigma$ signal events with 19.7 fb$^{-1}$ data at a center-of-mass energy$\sqrt s=8$ TeV. On the other hand, a search performed by CMS collaboration forthe SM Higgs boson produced in association with a top quark pair ($t\bar t H$)also showed an excess in the same-sign di-muon final state. In this work we tryto find out if these two seemingly uncorrelated excesses are related or not.Our analysis reveals that a lepton flavour violating Higgs decay($H\rightarrow\mu\tau$) can partially explain the excess in the same signdi-muon final state in the $t\bar t H$ search, infact brings down the excesswell within 2$\sigma$ error of the SM expectation. Probing such non-standardHiggs boson decay is of interest and might contain hints of new physics at theelectroweak scale.

Lepton flavour violating decay of 125 GeV Higgs boson to $\mu\tau$ channel and excess in $t\bar t H$