Tau sleptons and Tau sneutrino Decays in MSSM under the Cosmological Bounds

We present the numerical investigation of the fermionic two-body decays of tau sleptons $\tilde \tau_{1,2}$ and $\tau$ sneutrino in the Minimal Supersymmetric Standard Model with complex parameters. In the analysis we particularly take into account the cosmological bounds imposed by WMAP data. We plot the CP-phase dependences for each fermionic two-body channel of $\tilde \tau_{1,2}$ and $\tau$ sneutrino and speculate about the branching ratios and total (two-body) decay widths. We find that the phase dependences of the decay widths of the third family sleptons are quite significant which can provide viable probes of additional CP sources. We also draw attention to the polarization of the final-state tau in the $ \tilde \tau_{1,2}$ decays.