Lepton flavor violating processes $l_i⟶l_j{\nu }_l{\bar{\nu }}_l$ in topcolor-assisted technicolor models

We study the lepton flavor violating (LFV) processes $l_{i}\longrightarrow l_{j}\nu_{l}\bar{\nu}{l}$ in the context of the topcolor-assisted technicolor (TC2) models. We find that the branching ratios $B{r}(\tau\longrightarrow l_{j}\nu_{\tau}\bar{\nu}{\tau})$arelargerthanthebranchingratios$B{r}(\tau\longrightarrow l_{j}\nu_{l}\bar{\nu}{l})$ in all of the parameter space. Over a wide range of parameter space, we have $B{r}(\tau\longrightarrow l_{j}\nu_{\tau}\bar{\nu}{\tau})\sim 10^{-6}$and$B{r}(\tau\longrightarrow l_{j}\nu_{l}\bar{\nu}_{l})\sim 10^{-9} (l=\mu$or$e)$. Taking into account the bounds given by the experimental upper limit $B{r}^{exp}(\mu ⟶3e)\le 1\times {10}^{-12}$ on the free parameters of TC2 models, we further give the upper limits of the LFV processes $l_i⟶l_j{\nu }_l{\bar{\nu }}_l$. We hope that the results may be useful to partly explain the data of the neutrino oscillations and the future neutrino experimental data might be used to test TC2 models.