Lepton flavor violating $Z$-boson couplings from non-standard Higgs interactions

Understand

The Standard Model predicts that the Higgs boson couples to the fermions in the mass eigenstates.

• We consider the effects of lepton flavor violating (LFV) $Z$ boson couplings in the case where the Higgs boson has flavor non-diagonal Yukawa interactions with the muon and the tau lepton generated from physics beyond the Standard Model.
• We list the formulae of the couplings of the effective interactions among the $\tau$ lepton, the muon and the $Z$ boson.
• Using these formulae, we calculate the branching fractions of various leptonic and hadronic LFV $\tau$ decays, and the LFV $Z$ boson decay: $Z\to \tau\mu$.