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 $B_{ r}(\tau\longrightarrow l_{ j}\nu_{ \tau}\bar{ \nu}_{ \tau})$ are larger than the branching ratios $B_{ r}(\tau\longrightarrow l_{ j}\nu_{ l}\bar{ \nu}_{ l})$ 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 $Br^{ exp}(\mu\longrightarrow3e)\leq1\times10^{ -12}$ on the free parameters of TC2 models, we further give the upper limits of the LFV processes $l_{ i}\longrightarrow l_{ j}\nu_{ l}\bar{ \nu}_{ l}$. 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.
Categories: hep-ph