R-Parity Violation and Non-Abelian Discrete Family Symmetry

Abstract

We investigate the implications of R-parity violating operators in a model with family symmetry. The family symmetry can determine the form of R-parity violating operators as well as the Yukawa matrices responsible for fermion masses and mixings. In this paper we consider a concrete model with non-abelian discrete symmetry Q_6 which contains only three R-parity violating operators. We find that ratios of decay rates of the lepton flavor violating processes are fixed thanks to the family symmetry, predicting BR(tau to 3e)/BR(tau to 3mu) ~ 4 m_{mu}^2/m_{tau}^2.

20 pages, 3 figures

References in corpus (6)

• R-parity violating supersymmetry
• Measurement of the Bs-Bsbar Oscillation Frequency
• Phenomenological constraints on broken R parity symmetry in supersymmetry models
• Dihedral Families of Quarks, Leptons and Higgs Bosons
• Nonabelian Discrete Family Symmetry to Soften the SUSY Flavor Problem and to Suppress Proton Decay
• D6 Family Symmetry and Cold Dark Matter at LHC

Cited by in corpus (13)

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• Running Effects on Lepton Mixing Angles in Flavour Models with Type I Seesaw
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Super Flavorsymmetry with Multiple Higgs Doublets
• Flavored Non-Minimal Left-Right Symmetric Model Fermion Masses and Mixings
• On ${\mathbf{Q}}_6$ flavor symmetry and the breaking of $\mu \leftrightarrow \tau$ symmetry
• Muon anomalies and the $SU(5)$ Yukawa relations
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Bilinear R-parity violation with flavor symmetry
• Neutrino masses from R-parity violation with a $Z_3$ symmetry
• R-Parity violating flavor symmetries, recent neutrino data and absolute neutrino mass scale
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry