Phenomenological tests of supersymmetric A₄ family symmetry model of neutrino mass

Recently Babu, Ma, and Valle proposed a model of quark and lepton mixing based on A₄ symmetry [Phys. Lett. B 552, 207 (2003)]. 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 threefold 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 flavor violating μ and τ decays. The resulting slepton spectrum must necessarily include at least one mass below 200 GeV which can be produced at the CERN Large Hadron Collider. The prediction for the absolute Majorana neutrino mass scale m₀>~0.3eV ensure that the model will be tested by future cosmological tests and neutrinoless double beta decay searches. Rates for lepton flavor-violating processes l_j→l_i+γ in the range of sensitivity of current experiments are typical in the model, with BR(μ⃗eγ)≳10^-15 and the lower bound BR(τ⃗μγ)>10^-9. To first approximation, the model leads to maximal leptonic CP violation in neutrino oscillations.