Lepton Flavour Violation in Models with A4 Flavour Symmetry
arXiv:0807.3160 · doi:10.1016/j.nuclphysb.2008.10.002
Abstract
We analyze lepton flavour violating transitions, leptonic magnetic dipole moments (MDMs) and electric dipole moments (EDMs) in a class of models characterized by the flavour symmetry A4 x Z3 x U(1)_{FN}, whose choice is motivated by the approximate tri-bimaximal mixing observed in neutrino oscillations. We construct the relevant low-energy effective Lagrangian where these effects are dominated by dimension six operators, suppressed by the scale M of new physics. All the flavour breaking effects are universally described by the vacuum expectation values <Phi> of a set of spurions. We separately analyze both a supersymmetric and a general case. While the observed discrepancy delta a_mu in the anomalous MDM of the muon suggests M of order of a few TeV, several data require M above 10 TeV, in particular the limit on EDM of the electron. In the general case also the present limit on BR(mu -> e gamma) requires M >10 TeV, at least. The branching ratios for mu -> e gamma, tau -> mu gamma and tau -> e gamma are all expected to be of the same order. In the supersymmetric case the constraint from mu -> e gamma is softened and it can be satisfied by a smaller scale M. In this case both the observed delta a_mu and the current bound on BR(mu -> e gamma) can be satisfied, at the price of a rather small value for |<Phi>|, of the order of a few percents, that reflects on a similar value for theta_{13}.
29 pages, 1 figure
References in corpus (40)
- Phenomenology with Massive Neutrinos
- Flavour physics of leptons and dipole moments
- Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
- Symmetry of Lepton Mixing
- A model for fermion masses and lepton mixing in SO(10) x A4
- The muon g-2 and the bounds on the Higgs boson mass
- Status of Oscillation plus Decay of Atmospheric and Long-Baseline Neutrinos
- Supersymmetric models with minimal flavour violation and their running
- Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
- Near Tribimaximal Neutrino Mixing with Delta(27) Symmetry
- Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
- Soft SUSY Breaking Grand Unification: Leptons vs Quarks on the Flavor Playground
- Flavour physics at large tan(beta) with a Bino-like LSP
- A SUSY A4 model for fermion masses and mixings
- Flavor Symmetry for Quarks and Leptons
- Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
- Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
- Fermion Mass Hierarchies and Flavor Mixing from Symmetry
- Running minimal flavor violation
- Model of Geometric Neutrino Mixing
- Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
- Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
- Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
- Neutrino mixing matrix in the 3-3-1 model with heavy leptons and symmetry
- Soft supersymmetry breaking terms from D4 x Z2 lepton flavor symmetry
- What we (would like to) know about the neutrino mass
- Non-Abelian Discrete Family Symmetries of Leptons and Quarks
- Status of Tri/Bi-Maximal Neutrino Mixing
- New Lepton Family Symmetry and Neutrino Tribimaximal Mixing
- Neutrino Oscillation Parameters After High Statistics KamLAND Results
- Neutrino oscillations: present status and outlook
- Degenerate neutrinos from a supersymmetric A_4 model
- Tri-bimaximal Mixing from Cascades
- Lectures on Models of Neutrino Masses and Mixings
- Flavour Physics and Grand Unification
- Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
- Lepton Flavour Violation in the Constrained MSSM with Constrained Sequential Dominance
- An Improved Limit on the Electric Dipole Moment of the Muon
- Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing
- Lepton-flavour violation in the light of leptogenesis and muon g-2
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- A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
- Is S4 the horizontal symmetry of tri-bimaximal lepton mixing?
- Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
- Soft supersymmetry breaking terms from A4 lepton flavor symmetry
- Theory of the Neutrino Mass
- Theoretical Models of Neutrino Mixing: Recent Developments
- LFV and Dipole Moments in Models with A4 Flavour Symmetry
- LFV in Models with A4 Flavour Symmetry