Phenomenology of Discrete Flavour Symmetries

Abstract

The flavour puzzle is an open problem both in the Standard Model and in its possible supersymmetric or grand unified extensions. In this thesis, we discuss possible explanations of the origin of fermion mass hierarchies and mixings by the use of non-Abelian discrete flavour symmetries. We present a T'- and an S4-based realisations in which the spontaneous breaking of the symmetry produces realistic fermion mass hierarchies, the quark mixing matrix comparable to the Wolfenstein parametrisation and the lepton mixing matrix close to the so-called tribimaximal pattern. We also present an alternative S4-based flavour model which naturally leads to the weak complementarity relation with a relatively large lepton reactor angle. Masses and mixings are evaluated at a very high energy scale and for a comparison with experimental measurements we illustrate a general analysis on the stability under the renormalisation group running to evolve these observables to low energies. We consider also the constraints on flavour violating processes arising from introducing a flavour symmetry: in particular we concentrate on the lepton sector, analysing some lepton flavour violating decays and the discrepancy between the theoretical prediction and the experimental measurement of the anomalous magnetic moment of the muon. Interesting hints for the scale of New Physics and for the forthcoming experimental results from LHC are found. Finally we discuss the impact of an underlining flavour symmetry on leptogenesis in order to explain the baryon asymmetry of the universe.

arXiv commentDoctoral thesis, 205 pages; Winner of the "Sergio Fubini" prize for the year 2010, lavished by the INFN - Istituto Nazionale di Fisica Nucleare

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Cited by in corpus (8)

• Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry
• Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns
• Implications of the Daya Bay observation of θ_{13} on the leptonic flavor mixing structure and CP violation
• S_4 x Z_2 Flavor Symmetry in Supersymmetric Extra U(1) Model
• Flavor Mixing Democracy and Minimal CP Violation
• Cancellation Mechanism of FCNCs in S_4 x Z_2 Flavor Symmetric Extra U(1) Model
• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Effects on sinθ_{12} from perturbation of the neutrino mixing matrix with the partially degenerated neutrino masses