General Conditions for Lepton Flavour Violation at Tree- and 1-Loop Level

Abstract

In this work, we compile the necessary and sufficient conditions a theory has to fulfill in order to ensure general lepton flavour conservation, in the spirit of the Glashow-Weinberg criteria for the absence of flavour-changing neutral currents. At tree-level, interactions involving electrically neutral and doubly charged bosons are investigated. We also investigate flavour changes at 1-loop level. In all cases we find that the essential theoretical requirements can be reduced to a few basic conditions on the particle content and the coupling matrices. For 1-loop diagrams, we also investigate how exactly a GIM-suppression can occur that will strongly reduce the rates of lepton flavour violating effects even if they are in principle present in a certain theory. In all chapters, we apply our criteria to several models which can in general induce lepton flavour violation, e.g. LR-symmetric models or the MSSM. In the end we give a summarizing table of the obtained results, thereby demonstrating the applicability of our criteria to a large class of models beyond the Standard Model.

31 pages, 2 figures

References in corpus (26)

• Particle Dark Matter: Evidence, Candidates and Constraints
• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Observation of the Top Quark
• Bounds on Universal Extra Dimensions
• $SU(3)\otimes U(1)$ Model for Electroweak Interactions
• Lepton-Flavor Violation via Right-Handed Neutrino Yukawa Couplings in Supersymmetric Standard Model
• New Limit for the Family-Number Non-conserving Decay mu+ to e+_gamma
• Should Squarks Be Degenerate?
• Flavor Changing Effects in Theories with a Heavy Z' Boson with Family Non-Universal Couplings
• Unitarity of the Leptonic Mixing Matrix
• General formulae for f1 --> f2 gamma
• The Impact of Universal Extra Dimensions on the Unitarity Triangle and Rare K and B Decays
• A Survey of Lepton Number Violation Via Effective Operators
• Progress in the physics of massive neutrinos
• Probing lepton flavour violation with Higgs boson decays H-> li+lj
• Charged Lepton Flavour Violation and (g-2)_mu in the Littlest Higgs Model with T-Parity: a clear Distinction from Supersymmetry
• Lepton flavor changing processes and CP violation in the 331 model
• Flavor Changing Neutral Current Effects and CP Violation in the Minimal 3-3-1 Model
• Two-body $Z^{\prime }$ decays in the minimal 331 model
• Constraints on lepton flavor violation in the MSSM from the muon anomalous magnetic moment measurement
• Bilepton gauge boson contribution to the static electromagnetic properties of the W boson in the minimal 331 model
• Lepton Flavour Violating tau Decays in the Left-Right Symmetric Model
• Effective Lagrangian description of the lepton flavor violating decays Z-->li lj
• Static quantities of a neutral bilepton in the 331 model with right-handed neutrinos
• Implications of a very light pseudoscalar boson on lepton flavor violation

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• Deriving Models for keV sterile Neutrino Dark Matter with the Froggatt-Nielsen mechanism
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• Confronting Flavour Symmetries and extended Scalar Sectors with Lepton Flavour Violation Bounds
• Intrinsic flavor violation for massive neutrinos
• Lepton flavor violating decay Z-> l_i l_j in the 331 model
• Charged Lepton Flavor Violation in a class of Radiative Neutrino Mass Generation Models
• Lepton Flavor Violation in the LHT - A Clear Distinction from Supersymmetry
• Conversions of Bound Muons: Lepton Flavour Violation from Doubly Charged Scalars