  Recently Babu, Ma and Valle proposed a model of quark and lepton mixing based
on $A_4$ symmetry. Within this model the lepton and slepton mixings are
intimately related. We perform a numerical study in order to derive the slepton
masses and mixings in agreement with present data from neutrino physics. We
show that, starting from three-fold degeneracy of the neutrino masses at a high
energy scale, a viable low energy neutrino mass matrix can indeed be obtained
in agreement with constraints on lepton flavour violating
  $\mu$ and $\tau$ decays. The resulting slepton spectrum must necessarily
include at least one mass below 200 GeV which can be produced at the LHC. The
predictions for the absolute Majorana neutrino mass scale $m_0 \geq 0.3$ eV
ensure that the model will be tested by future cosmological tests and
$\beta\beta_{0\nu}$ searches.
  Rates for lepton flavour violating processes
  $\ell_j \to \ell_i + \gamma$ in the range of sensitivity of current
experiments are typical in the model, with BR$(\mu \to e \gamma) \gsim
10^{-15}$ and the lower bound BR$(\tau \to \mu \gamma) > 10^{-9}$. To first
approximation, the model leads to maximal leptonic CP violation in neutrino
oscillations.
