Phenomenological Tests of Supersymmetric A₄ Family Symmetry Model of Neutrino Mass

الأصل · EN

Recently Babu, Ma and Valle proposed a model of quark and lepton mixing based on A₄ 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 μ and τ 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 m₀ ≥ 0.3 eV ensure that the model will be tested by future cosmological tests and ββ₀ν searches. Rates for lepton flavour violating processes ℓⱼ → ℓᵢ + γ in the range of sensitivity of current experiments are typical in the model, with BR(μ→ e γ) 10⁻¹⁵ and the lower bound BR(τ→ μγ) > 10⁻⁹. To first approximation, the model leads to maximal leptonic CP violation in neutrino oscillations.