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

Abstract

We study the lepton flavor violating (LFV) processes $l_i⟶l_j{\nu }_l{\bar{\nu }}_l$ in the context of the topcolor-assisted technicolor (TC2) models. We find that the branching ratios $B_r(\tau ⟶l_j{\nu }_{\tau }{\bar{\nu }}_{\tau })$ are larger than the branching ratios $B_r(\tau ⟶l_j{\nu }_l{\bar{\nu }}_l)$ in all of the parameter space. Over a wide range of parameter space, we have $B_r(\tau ⟶l_j{\nu }_{\tau }{\bar{\nu }}_{\tau })\sim 10^{-6}$ and $B_r(\tau ⟶l_j{\nu }_l{\bar{\nu }}_l)\sim 10^{-9}(l=\mu$ 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.

Comments: to be published in Phys. Lett. B