S_3-flavour symmetry as realized in lepton flavour violating processes

Abstract

A variety of lepton flavour violating effects related to the recent discovery of neutrino oscillations and mixings is here systematically discussed in terms of an S_3-flavour permutational symmetry. After a brief review of some relevant results on lepton masses and mixings, that had been derived in the framework of a Minimal S_3-Invariant Extension of the Standard Model, we derive explicit analytical expressions for the matrices of the Yukawa couplings and compute the branching ratios of some selected flavour changing neutral current (FCNC) processes, as well as, the contribution of the exchange of neutral flavour changing scalars to the anomaly of the muon's magnetic moment 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. The contribution of FCNC to the anomaly of the muon's magnetic moment is small but non-negligible.

23 pages, one figure. To appear in J. Phys A: Mathematical and Theoretical (SPE QTS5)

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• Broken $S_3$ Neutrinos
• Naturally perturbed S${}_3$ neutrinos
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• Symmetryless Dark Matter
• Scalar triplet leptogenesis in the presence of right-handed neutrinos with S3 symmetry
• A non-renormalizable neutrino mass model with ${\mathbf{S}}_3\otimes {\mathbf{Z}}_2$ symmetry
• A comparative study between the modified Fritzsch and nearest neighbor interaction textures
• A lepton model with nearly Cobimaximal mixing
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry
• Cosmological Constraints for the Cold Dark Matter and Model Building based on the Flavor Symmetric Radiative Seesaw Model