There are many models beyond the standard model predicting the existence of non-universal gauge bosons $Z^{ \prime}$, which can give rise to very rich phenomena. We calculate the contributions of the non-universal gauge bosons $Z^{ \prime}$, predicted by topcolor-assisted technicolor (TC2) models and flavor-universal TC2 models, to the lepton flavor-violation tau decays $\tau\to l_{ i}\gamma$ and $\tau\to l_{ i}l_{ j}l_{ k}$. We find that the branching ratio $B_{ r}(\tau\longrightarrow l_{ i}l_{ j}l_{ k})$ is larger than that of the process $\tau\longrightarrow l_{ i}\gamma$ in all of the parameter space. Over a sizable region of the parameter space, we have $B_{ r}(\tau\longrightarrow l_{ i}l_{ j}l_{ k})\sim 10^{ -8}$, which may be detected in the future experiments.
Categories: hep-ph