Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model

Abstract

The mass matrices of the charged leptons and neutrinos, previously derived in a minimal S_3-invariant extension of the Standard Model, were reparametrized in terms of their eigenvalues. We obtained explicit, analytical expressions for all entries in the neutrino mixing matrix, V_PMNS, the neutrino mixing angles and the Majorana phases as functions of the masses of charged leptons and neutrinos in excellent agreement with the latest experimental values. The resulting V_PMNS matrix is very close to the tri-bimaximal form of the neutrino mixing matrix. We also derived explicit analytical expressions for the matrices of the Yukawa couplings and computed the branching ratios of some selected flavour changing neutral current processes as functions of the masses of the charged leptons and the neutral Higgs bosons. We find that the S_3 x Z_2 flavour symmetry and the strong mass hierarchy of the charged leptons strongly suppress the FCNC processes in the leptonic sector well below the present experimental upper bounds by many orders of magnitude.

One paragraph added with comparison to tri-bimaximal mixing, two lines changed in abstract, references added, typographical errors corrected

References in corpus (8)

• Massive neutrinos and cosmology
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Model Predictions for Neutrino Oscillation Parameters
• Probing non-standard neutrino interactions with supernova neutrinos
• Neutrino Mass and New Physics
• The discrete flavor symmetry D5
• Flavor Symmetry and Vacuum Aligned Mass Textures
• Supernova neutrino observations: What can we learn?

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