Lepton Flavor Violating Decays τ→μM in the 331 Model

Considering the experimental constraints on the free parameters of the 331 model with a leptonic sector consistent of five triplets, we investigate the lepton flavor violation (LFV) tau decays τ→μM with M=P and V, where P and V denote a pseudoscalar meson (π,η or η') and a vector meson (ρ⁰,ω or φ), respectively. We find that the contributions of the 331 model to the LFV decays τ→μM mainly come from the new neutral gauge boson Z'. The 331 model considered in this paper can not make the values of the branching ratio Br(τ→μM) approach the corresponding experimental upper limits.