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.

to be published in Phys. Lett. B