Radiatively Induced Neutrino Masses and Oscillations in an SU(3)_LxU(1)_N Gauge Model release_lzqq53wz7bahhlyadgh27zpmea

Abstract

We have constructed an SU(3)_L × U(1)_N gauge model utilizing an U(1)_L^' symmetry, where L^' = L_e-L_μ-L_τ, which accommodates tiny neutrino masses generated by L^'-conserving one-loop and L^'-breaking two-loop radiative mechanisms. The generic smallness of two-loop radiative effects compared with one-loop radiative effects describes the observed hierarchy of Δ m_atm^2 ≫ Δ m_^2. A key ingredient for radiative mechanisms is a charged scalar (h^+) that couples to charged lepton-neutrino pairs and h^+ together with the standard Higgs scalar (ϕ) can be unified into a Higgs triplet as (ϕ^0, ϕ^-, h^+)^T. This assignment in turn requires lepton triplets (ψ_L^i) with heavy charged leptons (κ_L^+i) as the third member: ψ_L^i=(ν^i_L,ℓ^i_L,κ^+i_L)^T, where i (=1,2,3) denotes three families. It is found that our model is relevant to yield quasi-vacuum oscillations for solar neutrinos.
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